Hay un error en el original. En realidad, la leche y los huevos no son "animal by-products" (debería llevar guión):
http://www.environment-agency.gov.uk/netregs/63503.aspx
Animal by-products are entire animal bodies, parts of animals, or products of animal origin that are not intended for human consumption.
These include:
animal carcasses and parts of animal carcasses (including fish)
manure and gut contents
ova, embryos and semen which are not intended for breeding purposes
blood, hides, skins, hooves and horns
shellfish and crustacean waste
feathers, wool, hair and fur
catering wastes not intended for human consumption (including cooking oil used to prepare animal products).
Y subproductos animales sería la traducción correcta si el contexto fuera correcto también.
Dado que se están refiriendo a leche, huevos o vísceras comestibles, el término correcto sería "animal source foods":
http://en.wikipedia.org/wiki/Animal_source_foods
Animal source foods (ASF) include any food item that comes from an animal source such as meat, milk, fish, eggs, cheese and yogurt.