That’d just mean most animals would be able to qualify for this thread - for example, over half of PZ’s roster would be either very rare or nonexistent in zoos from an Australian perspective. Everything’s rare somewhere, hence why I specified species that are rare globally to remove bias.
As another species to showcase here, I’d like to nominate the mala or rufous hare-wallaby, a tiny fluffy desert macropod that is now extinct on mainland Australia outside of feral-free reserves thanks to invasive predators. They’re only kept at a single zoo, Alice Springs Desert Park, where I have seen them, but there they have a very large population of them - they breed prolifically in captivity. As well as being highly endangered, they’re also one of the most adorable animals on earth IMO.