Cape Buffalo, Leopard and Warthog. I'd have a hard time picking just one. Leopard is the only predator I have ever had the urge to hunt, probably because I think they're the most dangerous.
Alaskan Brown bear, with a handgun. Or Kudu with a bow. Can't decide which one because you said price was not an issue. I can see myself having the money to go to Alaska........Africa... not so much. Always wanted to do both.
First off, I don't consider any North American animal, to be exotic, except perhaps an American Bison or Moose.
I guess I'll go for a Kudu ....
Big Cats; .... Don't think I'd like to eat another one.
Cape Buffalo; .... They don't like being shot at.
Elephants and Rhinos; ... God doesn't want me to shoot one.
For whatever unknown reason, I've always liked the horns of the plains antelope of Africa. They're about the only wall decor of interest to me outside of whitetail and mule deer.