Below you find a list of foods that are generally considered hypoallergenic / 
have a low allergenity rating. The foods are listed by food type.
Vegetables:
Asparagus,  Beets, Broccoli Brussels sprouts Cabbage Carrots Cauliflower Cucumber Fennel Green beans Kale Lettuce Parsnips Potatoes Pumpkin Rhubarb Squash Swedes Sweet potatoes Turnips Zucchini

Legumes:
Lentils Black beans Kidney beans Garbanzo beans Navy beans Lima beans Pinto beans Green peas

Fruits and berries:
Apples Apricots Bananas (that are not treated with ripening chemicals) Blackcurrants Blueberries Figs (cooked) Melon Peaches (cooked/canned) Pears Plums Prunes Redcurrants

Grains and cereal:
Amaranth Buckwheat Quinoa Millet Rice Tapioca flour

Meat:
Chicken (organic) Lamb Organic red meat

Sweeteners:
Maple syrup Brown rice syrup Carob