polyphage
/ˈpɒlɪfeɪdʒ/noun
Chiefly Zoology. An animal that is able to eat a variety of different foods.
Origin
Early 17th century (in an earlier sense). In sense 1 from classical Latin polyphagus (from ancient Greek πολυϕάγος eating to excess (Hippocrates) from πολυ- + -ϕάγος: see -phagous).