Found in many Asian foods, buckwheat is also used in foods for those with allergies to Cereal.

What to look for on the label: Buckwheat, buckwheat flour, tartary buckwheat.
Common foods containing Buckwheat: Breads, pastries, pastas, pizza, soups, beers, soba noodles, guksu noodles, memilmuk, groat porridge, pizzoccheri, polenta taragna, pancake–blinis, galettes, poffertjes.
ref: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3214221/

* This includes the celery stalks, leaves, seeds and the root. Usually found in celery salt, salads, some meat products, soups and stock cubes.

What to look for on the label: Celery seed, Celery leaf, Celery salt, Celariac or Celeriac, Celery stalk
Common foods containing Celery: Vegetable juice, Spice mixes, Soups, vegetable, Marmite, Curry, Bouillon, Processed meat products, Savoury snacks, Sausages, Prepared Salads

* ** Wheat, rye, barley, malt, and oats are often found in foods containing flour, some baking powder, batter, breadcrumbs, cakes, couscous, meat products, pasta, pastry, sauces, soups and some fried food.

What to look for on the label: Wheat, Durum wheat, Semolina, Spelt, Kamut, Eincorn, Faro, Barley, Rye, Oat, Malt, Couscous, , gluten-free oats, millet, buckwheat groats, arrowroot, amaranth, flax, chia
Common foods containing Cereal: Bread, Baked goods, Baking mixes, Pasta, Malt beverages, Crackers, Cereals, Condiments, Chocolates, Sauces, licorice, candies

Coconut can be found in many foods and food products: Coconut allergies are rare but do exist.

What to look for on the label: Coconut, coconut water, coconut milk, coconut cream, coconut milk powder, coconut sugar, shredded coconut, coconut oil
Common foods containing Coconut: Cakes, chocolates, cookied, candies, processed cereals, granola bars, sugars, rices, creams, milk products, yogurts, ice creams, pies, seasoned or coated popcorns
ref: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5664015/

It's estimated 75% of processed foods contain corn in some form.

What to look for on the label: Corn, cornstarch, corn syrup, HFCS, corn meal, maize, corn flour, corn oil, popcorn, corn tortillas, margarine, vegetable oil, Malt syrup, modified food starch, caramel, cellulose, xantham gum, corn sugars (dextrose, dextrin, maltodextrin, fructose, Dyno, Cerelose, Puretose, Sweetose, glucose, sorbitol, xylitol, inositol, sodium erythorbate)
Common foods containing Corn: Hard liquors, beers, processed foods, hominy, grits, processed meats, corn chips, tortilla chips, burritos, tacos, corn pudding, succotash, fritters, deep-fried foods, corn dogs, tamales, salad dressings, sauces, marshmallows, powdered mixes
ref: https://acaai.org/allergies/types/food-allergies/types-food-allergy/corn-allergy

* ** Crabs, lobster, prawns and scampi are crustaceans. Shrimp paste is an allergen in this category that is commonly used in Thai and South-east Asian cooking.

What to look for on the label: Amphipods, Barnacles, Crabs, Hermit Crabs, Crayfish, Isopods, Lobsters, Mantis Shrimp, Mussel Shrimp, Mysids, Sea Spiders, Shrimp, Prawns
Common foods containing Crustaceans: Paella, Chinese products, Thai Curry, Prepared sauces, Soups, Asian Salad, Fried rice, Fish paste, Fish Soup

* ** Eggs are found in cakes, some meat products, mayonnaise, mousses, pasta, quiche, sauces and pastries. Some food products are glazed with eggs during cooking.

What to look for on the label: Albumin, Apovitellin, Cholesterol free egg substitute, Dried egg solids, Dried egg, Egg, Egg white, Egg yolk, Egg wash, Eggnog, Fat substitutes, Globulin, Livetin, Lysozyme, Mayonnaise, Meringue, Meringue powder, Ovalbumin, Ovoglobulin, Ovomucin, Ovomucoid, Ovotransferrin, Ovovitelia, Ovovitellin, Powdered eggs, Silici albuminate, Simplesse, Surimi, Trailblazer, Vitellin, Whole egg
Common foods containing Eggs: Meringue, Mayonnaise, Marzipan, Marshmallow, Artificial flavouring, Baked goods, Lecithin, Natural flavourings, Nougat, Pasta, Salad dressing, Tartare Sauce, Hollandaise, Cakes, Egg glazed pastry, Some ice cream, Some custards.

* ** You may find fish sauces in pizzas, relishes, salad dressings, stock cubes and Worcestershire sauce.

What to look for on the label: Anchovies, Bass, Catfish, Cod, Flounder, Grouper, Haddock, Hake, Halibut, Herring, Mahi Mahi, Perch, Pike, Pollock, Salmon, Scrod, Swordfish, Sole, Snapper, Tilapia, Trout, Tuna
Common foods containing Fish: Barbecue Sauce, Soups, Pizza, Caesar salad and Caesar dressing, Worcestershire sauce, Bouillabaisse, Imitation or artificial fish or shellfish (“sea legs” or “sea sticks,” is one example), Meatloaf, Barbecue sauce, Caponata, a Sicilian eggplant relish, Num Pla, Dips, Gelatine, Relishes

* Note: This fifteenth allergy icon provided with the original Erudus Allergy Icon Font isn't mentioned in the documentation on their site. The Cereal icon is generally used for this purpose, and is designated in the related EU regulations. However, on Dec. 17, 2018, Erudus provided the following notes, indicating their specific usage:

"We created the 'Gluten' icon as we were finding more and more products that either a) contained gluten but not Cereal or b) contained Cereal but not Gluten i.e. gluten-free oats. So the introduction of the additional icon allowed us to ensure within our apps that the user knew if it contained Gluten and/or Cereal."

What to look for on the label: Brewer's yeast, starch, malt extract, malt flavoring, soy sauce, dextrin
Common foods containing Gluten: Processed lunch meats, beer, ale, soy sauce, cream soups, candy bars, candies, imitation meat, imitation seafood, cheesecake, liquid eggs

Also known as Chinese gooseberry, a kiwi allergy generally also indicates an allergy to latex.

What to look for on the label: Kiwi, Kiwi Juice, Gooseberry, Gooseberry Juice, Zespri Gold
Common foods containing Lupin: fruit, juices, syrups, spirits, fruit shakes, fruit cocktails, mixed dried fruits, ice creams, yogurts and other dairy products, puddings, breakfast flakes, energy bars, flavouring powders or essences, confectionery, baked goods, and fruit sauces.
ref1: https://www.anaphylaxis.org.uk/userfiles/files/kiwi%20allergy%20factsheet.pdf
ref2: http://research.bmh.manchester.ac.uk/informall/allergenic-food/?FoodId=30

* Lupin is a flower, but it is also sometimes found in flour and is sometimes used in bread, pastries and pasta.

What to look for on the label: Lupine, Lupin flour, Lupin seed, Lupin bean
Common foods containing Lupin: Pastry cases, Pies, Waffles, Pancakes, Crepes, Products containing crumb, Pizzas, Vegetarian meat substitute, Deep-coated vegetables such as onion rings

* ** Milk is found in dairy products such as butter, cheese, cream, milk powders and yoghurt. Some foods are also glazed with milk during cooking. It’s also commonly found in powdered soups and sauces.

What to look for on the label: Milk — acidophilus milk, buttermilk, buttermilk blend, buttermilk solids, cultured milk, condensed milk, dried milk, dry milk solids (DMS), evaporated milk, fat‐free milk, fully cream milk powder, goat’s milk, lactose free milk, low fat milk, malted milk, milk derivative, milk powder, milk protein, milk solids, milk solid pastes, nonfat dry milk, nonfat milk, nonfat milk solids, pasteurised milk, powdered milk, sheep’s milk, skim milk, skim milk powder, sour milk, sour milk solids, sweet cream buttermilk powder, sweetened condensed milk, sweetened condensed skim milk,whole milk, 1% milk, 2% milk, Butter — artificial butter, artificial butter flavour, butter, butter extract, butter fat, butter flavoured oil, butter solids, dairy butter, natural butter, natural butter flavour, whipped butter, Casein & caseinates — ammonium caseinate, calcium caseinate, hydrolyzed casein, iron caseinate magnesium caseinate, potassium caseinate, sodium caseinate, zinc caseinate.
Cheese — cheese (all types), cheese flavor (artificial and natural), cheese food, cottage cheese, cream cheese, imitation cheese, vegetarian cheeses with casein
Cream — Whipped cream, Curds, Custard, Dairy product solids, Galactose, Ghee, Half & Half
Hydrolysates — Casein hydrolysate, Milk protein hydrolysate, Protein hydrolysate, Whey hydrolysate, Whey protein hydrolysate Ice cream, Ice milk, Sherbet, Casein, Whey, Lactoalbumin, Lactulose, Lactoferrin, Lactoglobulin, Milk protein, Hydrolysate, Lactalbumin, Lactalbumin phosphate, Lactate solids, Lactyc yeast, Lactitol monohydrate, Lactoglobulin, Lactose, Lactulose, Milk fat, anhydrous milk fat, Nisin preparation, Nougat, Pudding, Quark, Recaldent, Rennet, Rennet casein, Simplesse® (fat replacer), Sour cream, Sour cream solids, Imitation sour cream, Whey — acid whey, Cured whey, Delactosed whey, Demineralised whey, Hydrolyzed whey, Powdered whey, Reduced mineral whey, Sweet dairy whey, Whey, Whey protein, Whey protein concentrate, Whey powder, Whey solids, Yogurt (regular or frozen), Yogurt powder
Common foods containing Milk: Milk, Milk powder, Buttermilk, Butter, Ghee, Yoghurt, Natural flavouring, Flavouring, Caramel flavouring, High protein flour, Lactic acid starter culture, Rice cheese, Soy cheese, Cream, Ice Cream, Cheese, Custard, Margarine, Chocolate, Instant Mash, Processed Meats

Includes Parmesan cheese, mushrooms, truffles, yeast, alcoholic drinks, brewed sauces, vinegars

What to look for on the label: Parmesan, Camembert, Stilton, Brie, mushrooms, truffles, yeast, beer, soy sauce
Common foods containing Mold: Ethnic Food, Breads, Pizza, Sandwiches, Soups, Sauces, Cheese Sauces, Appetizers, Alcoholic Drinks
Note: While as yet unproven, a food mold allergy apparently coincides with the inability to take Penicillin.

* Includes mussels, land snails, squid and whelks, but can also be found in oyster sauce, which is commonly used in fish stews for example.

What to look for on the label: Oysters, Snails, Squid, Scallops, Mussels, Clams and cockles, Abalone, Mussels, Octopus
Common foods containing Molluscs: Ethnic Food, Soups, Sauces, Mussel dishes, Scallops, Calamari

"FDA considers the addition of MSG to foods to be “generally recognized as safe” (GRAS) ... FDA requires that foods containing added MSG list it in the ingredient panel on the packaging as monosodium glutamate." [ref1]

What to look for on the label: "MSG occurs naturally in ingredients such as hydrolyzed vegetable protein, autolyzed yeast, hydrolyzed yeast, yeast extract, soy extracts, and protein isolate, as well as in tomatoes and cheeses. While FDA requires that these products be listed on the ingredient panel, the agency does not require the label to also specify that they naturally contain MSG. However, foods with any ingredient that naturally contains MSG cannot claim 'No MSG' or 'No added MSG' on their packaging. MSG also cannot be listed as 'spices and flavoring.'" [ref1]
"Glutamate, Glutamic acid, Gelatin, Monosodium glutamate, Calcium caseinate, Textured protein, Monopotassium glutamate, Sodium caseinate, Yeast nutrient, Yeast extract, Yeast food, Autolyzed yeast, Hydrolyzed protein (any protein that is hydrolyzed), Hydrolyzed corn gluten, Natrium glutamate." [ref2]
Common foods containing MSG: Asian foods, cheeses, processed meats, packaged foods, processed snack foods, breadings, seasonings, soups, stews, dressings, marinades, gravies, cured sausages.
ref1: https://www.fda.gov/food/ingredientspackaginglabeling/foodadditivesingredients/ucm328728.htm
ref2: https://www.sharecare.com/health/nutrition-diet/what-foods-contain-monosodium-glutamate

* This includes Mustard in the form of powder, liquid and seeds. This ingredient is used in breads, curries, marinades, meat products, salad dressings, sauces and soups.

What to look for on the label: Mustard powder, Mustard seeds, Mustard flour, Mustard leaves, Mustard oil, Sprouted mustard seeds
Common foods containing Mustard: Sausages and processed meat products, Chutneys, Soups, Sauces, Chutney, Piccalilli, Salad dressing, Indian foods, Salad Dressings (vinaigrettes and cruditées), Spices, flavouring or seasoning, Barbecue Sauce, Curry Sauce, Cumberland Sauce, Ketchup, tomato sauce, Béarnaise Sauce, Mayonnaises, Pesto, Gravies, Marinades, Chutneys pickles and other pickled products, Vegetables with vinegar, Dehydrated soups

"A family of flowering plants called Solanaceae consisting of almost 3,000 species." [ref]

What to look for on the label: White potatoes, potato starch, potato flour, tomatoes, tomatillos, eggplant, bell peppers, chili peppers, cayenne pepper, paprika, huckleberries, goji berries, pimentos, seasonings, thickeners.
Common foods containing Nightshades: Greek foods, Italian foods, Indian foods, salads, tomato sauce, ketchup, barbecue sauce, salsas, tomato chili, soups, stews, pizzas, mashed potatoes, baked potatoes, French fries, steak frites, tater tots.
ref: https://www.medicalnewstoday.com/articles/321883.php

* * Peanuts are often used as an ingredient in biscuits, cakes, curries, desserts, sauces, groundnut oil and peanut flour.

What to look for on the label: Ground Nuts, Beer nuts, Monkey nuts, Nut meat, Arachis oil, Kernels, Peanut protein, Arachic oil, Arachis, Arachis hypogaea, Artificial nuts, Beer nuts, Boiled peanuts, Cold pressed, Extruded or expelled peanut oil, Crushed nuts, Crushed peanuts, Earth nuts, Goober peas, Ground nuts, Ground peanuts, Hydrolyzed peanut protein, Mandelonas, Mixed nuts, Nut pieces, Nutmeat, Peanut butter, Peanut butter chips, Peanut butter morsels, Peanut flour, Peanut paste, Peanut sauce, Peanut syrup, Virginia peanuts
Common foods containing Peanuts: Artificial flavouring, Baked goods, Candy, Chili, Chocolate, Crumb toppings, Egg rolls, Enchilada sauce, Ethnic foods: African, Asian, Chinese, Indian, Indonesian, Thai, Vietnamese, Mexican, Fried foods, Flavouring, Graham cracker crust, Hydrolyzed plant protein, Hydrolyzed vegetable protein, Marzipan, Mole sauce, Natural flavouring, Nougat

* These are found commonly in bread, usually sprinkled on buns such as hamburger buns, bread sticks, houmous, sesame oil and tahini.

What to look for on the label: Sesame seeds, Sesame oil, Benne, Benne seed, Gingelly, Gingelly oil
Common foods containing Sesame: Bread, Soups, Crackers, Tahini butter, Dressings, Marinades, Toasts, Dips, Hummus, Sauces, Chutney

* ** Found sometimes in bean curd, edamame beans, miso pates, textured soya protein, soya flour or tofu, soya is a staple ingredient in oriental food. It can be found in desserts, ice cream, meat products, sauces and vegetarian products.

What to look for on the label: Soy flour, Soya Milk, Soya nuts, Bean curd, Edamame (soybeans in pods), Hydrolyzed soy protein, Kinnoko flour, Kyodofu (freeze dried tofu), Miso, Natto, Okara (soy pulp), Shoyu sauce, Soy albumin, Soy concentrate, Soy fiber, Soy formula, Soy grits, Soy milk, Soy miso, Soy nuts, Soy nut butter, Soy protein, Soy protein concentrate, Soy protein isolate, Soy sauce, Soy sprouts, Soya, Soya flour, Soybeans, Soybean granules, Soybean curd, Soybean flour, Soy lecithin, Soybean paste, Supro, Tamari, Tempeh, Teriyaki sauce, Textured soy flour (TSF), Textured soy protein (TSP), Textured vegetable protein (TVP), Tofu, Yakidofu, Yuba (bean curd), Soy oil, Soybean, Textured vegetable protein, Edemame, Bean curd, Vegetable starch, Vegetable gum
Common foods containing Soya: Soy milk, Soy oil, Bean sprouts, Canned tuna, Surimi, Artificial flavouring, Asian foods (e.g. Japanese, Chinese, Thai, etc.), Baked goods, Hydrolyzed plant protein, Hydrolyzed vegetable protein (HVP), Soy sauce, Tamari sauce, Teryaki sauce, Miso, Natural flavouring, Vegetable broth, Vegetable gum, Vegetable starch

* This is an ingredient often used in dried fruits and in some meat products, soft drinks, vegetables, wine and beer. Asthmatics have a higher risk of developing an allergy to sulphites.

What to look for on the label: Sulphur, Sulphur Dioxide, Sulphite, Sulphites, Potassium bisulphite, Metabisulphite, Sodium bisulphite, Dithionite, Metabisulphite, Sulphiting agents, Sulphurous acid, E220 Sulphur dioxide, E221 Sodium sulphite, E222 Sodium hydrogen sulphite, E223 Sodium metabisulphite, E224 Potassium metabisulphite, E226 Calcium sulphite, E227 Calcium hydrogen sulphite, E228 Potassium hydrogen sulphite, E150b Caustic sulphite caramel, E150d Sulphite ammonia caramel
Common foods containing Sulfur Dioxide: Pickled foods and vinegar, Dried fruit eg dried apricots, prunes, raisins etc, Maraschino cherries, Tinned coconut milk, Beer, wine and cider, Vegetable juices, Some soft drinks, Grape juice, Bottled lemon juice and lime juice, Condiments (bottled sauces etc.), Guacamole, Dehydrated, pre-cut or peeled potatoes, Fresh or frozen prawns, Some processed meat products
Note: Wines, beers, ciders, and other beverages generally aren't labeled for sulphites. Special care must be taken in this icon to ensure its implementation.

"Formed during industrial partial hydrogenation of vegetable oil, a process widely commercialized to produce solid fats." [ref]

What to look for on the label: "The Food and Drug Administration (FDA) requires that the Nutrition Facts panel list the amount of trans fat in a serving of food if a serving contains 0.5 g or more of trans fatty acids, this is listed on the line below the listing of saturated fat." [ref]
Common foods containing Trans Fat: Cakes, cookies, crackers, breads, margarines, fried foods, processed snack foods, shortenings, breakfast cereals, candies.
ref: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3551118/

* ** Nuts (excluding Peanuts) refers to nuts that are grown on trees; unlike peanuts, which are grown underground. This includes cashew nuts, almonds and hazelnuts.

What to look for on the label: Almond, Hazelnuts, Walnuts, Cashews, Pecan Nuts, Brazil Nuts, Pistachio Nuts, Macadamia or Queensland Nuts.
Detailed List: Almond, Almond paste, Anacardium nuts, Anacardium occidentale (Anacardiaceae) [botanical name, Cashew], Bertholletia excelsa (Lecythidaceae) [botanical name, Brazil nut], Carya illinoensis (Juglandaceae) [botanical name, Pecan], Cashew, Castanea pumila (Fagaceae) [botanical name, Chinquapin], Hazelnut, Juglans spp. (Juglandaceae) [botanical name, Walnut, Butternut, Heartnut] Karite (shea nut), Lichee nut, Litchi chinensis Sonn. Sapindaceae [botanical name, Lichee nut] Lychee nut, Macadamia nut, Macadamia spp. (Proteaceae) [botanical name, Macadamia nut/Bush nut], Mandelonas, Marzipan, Mashuga nuts, Nangai nuts, Natural nut extract (for example, almond extract), Nougat, Nu-Nuts®, Nut butters (e.g., Almond butter, Hazelnut butter, Brazil nut butter, Macadamia nut butter, Pistachio nut butter, Shea nut butter, Karike butter, as well as other nut butters), Nut meal, Nutella ®, Nutmeat, Nut oil (e.g., Walnut oil as well as other nut oils), Nut paste, Nut pieces, Pecan, Pigñolia, Pili nut, Pine nut, Pine nut (Indian, piñon, pinyon, pigndi, pigñolia, pignon nuts), Pinon nut, Piñon or Piñon nut, Pinus spp. (Pineaceae) [botanical name, Pine nut/piñon nut], Pistachio, Pistacia vera L. (Anacardiaceae) [botanical name, Pistachio], Pralines, Prunus dulcis (Rosaceae) [bontanical name, almond] Shea nut, Sheanut, Vitellaria paradoxa C.F. Gaertn. (Sapotaceae) [botanical name, Shea nut] Walnut (English, Persian, Black, Japanese, California)
Common foods containing Tree Nuts: Chocolate spread, Nut butter, Chocolates, Artificial flavouring, Baked goods, Mortadella, Natural flavouring, Nougat, Pesto, Salad dressings, BBQ sauce, Pesto, Crackers, Desserts
Note: The EU regulations specify this as "Nuts", however "Tree Nuts" is more recognizable as excluding peanuts.

"Candida albicans is a common yeast type of fungus found in many foods." [ref]

What to look for on the label: Yeast, breads, cereal products, alcohol, stocks, vinegar, pickles, olives, mushrooms, sauerkraut, dried fruits, blackberries, grapes, strawberries, blueberries, buttermilk, synthetic cream, yogurt, soy sauce, miso, tamarind, tofu, citric acid. [ref]
Common foods containing Yeast: "Most breads and some baked goods, such as muffins, biscuits, croissants, or cinnamon rolls; cereal products; alcohol, especially beer, wine, and ciders; premade stocks, stock cubes, and gravies; vinegar and foods containing vinegar, such as pickles or salad dressing; aged meats and olives; mushrooms; fermented foods such as ripe cheeses and sauerkraut; dried fruits; blackberries, grapes, strawberries, and blueberries; buttermilk, synthetic cream, and yogurt; soy sauce, miso, and tamarind; tofu; citric acid; anything that has been opened and stored for an extended period of time."
ref: https://www.healthline.com/health/allergies/yeast