What general name is given to animals which are not eaten by anything?

Your question is unclear. You might be referring to herbivores. You might be referring to non-scavengers (predators that never scavenge already dead animals). If you mean the latter, then there might be no such animals. When hungry enough, almost any predator will eat already dead animals even if they have undergone some putrification.

If you were looking for examples of herbivores, them some examples of animal herbivores are: armadillos, caribou, chipmunks, cows, deer, elephants, giraffes, horses, kangaroos, koalas, llamas, mice, moose, rabbits, sheep, and squirrels. Also pandas, buffalos, zebras, beavers, chinchillas, rhinos, and some species of birds.