Regarding egg allergies, angel food cake (the boxed mix) has the eggs already in it, in the form of powdered egg whites.
Example:
http://www.duncanhines.com/products/...food-cake-mix/
Sugar, Enriched Bleached Wheat Flour (Flour, Niacin, Reduced Iron, Thiamine Mononitrate, Riboflavin, Folic Acid), Wheat Starch, Powdered Egg Whites (Egg Albumen, Sodium Lauryl Sulfate [Whipping Aid]), Leavening (Monocalcium Phosphate Monohydrate, Sodium Bicarbonate, Potassium Bitartrate). Contains 2% Or Less Of: Corn Starch, Maltodextrin, Natural And Artificial Flavors, Modified Cornstarch, Partially Hydrogenated Soybean And Cottonseed Oil