Interesting, let me think.
Rodents are a no (squirrels, mice, rats).
Amphibians, insects, arachnids, are things I will only ever accidentally ingest.
(I don't believe we have lizards or serpents here, but, no.)
I'm not keen on eating work animals (horses, donkeys, dogs, cats).
Game is hit or miss; I dislike deer, but love duck. Would probably try most game if given to me.
Birds in general I'm happy to eat.
I'll eat some fish to taste (salmon, cod, etc) but am generally not a fan of seafood or shellfish. (Despite being an island this is quite common here.)
I have no desire to try anything like seal, sea-lion, dolphin, or whale.
I find red and fatty meats harder to digest so I try to eat less of them, and less of mammals in general, but cow, sheep/lamb, pig are stables of diet here, very difficult to avoid.
Offal tends to be very strongly flavoured, or highly textured, and it is rare that I find myself liking it. (I'm a very-well-done kinda person.) Although if processed it can be nice, for example, haggis, white pudding, sausage can be delicious.
And there is always the preference to avoid the taste of animal cruelty, like you mentioned, veal is not something I want to try, and always choosing free-range or similar if possible.
I can trace most of these preferences back through culture, or as personal digestive limitations.