There are three zones, each anchored with a large exhibit like this. The desert zone you see above. The temperate zone has a South American exhibit with maras, Patagonian conures, and other birds, and the tropics zone has a pool for broad-snouted caiman (at least that's what was there last time I visited, it might be Siamese crocodile now)
When I was there last, I remember for sure, cottontail rabbits, chuckwallas, desert iguanas, masked bobwhite quail, doves (white-winged or mourning I don't remember), house finch, northern cardinal, and Gila woodpecker.