The 10 most common species in zoos lists the following 10 species: 10. Emu; 9. Boa constrictor; 8. Common peafowl; 7. Giraffe; 6. Blue-and-yellow macaw; 5. Meerkat; 2. = Goat, Ring-tailed lemur and Lion; 1. Tiger There are no surprises here. Several of the species are not threatened in the wild, while lions and tigers are often used to represent the cat family in zoos, but are rarely involved in reintroduction programmes.
There was a similar file on Zoochat: Most Common Zoo Animals. The following may be interesting: https://www.quora.com/What-is-the-most-common-animal-found-in-zoos-Why.