The actual answer is domestics like the dromedary, pygmy goats, and domestic chickens, which are ubiquitous in most zoos but not present in PZ. But sticking to wild animals, and predominantly from a North American zoo perspective:
Mammals:
Two-toed sloth (both species)
Coati (white-nosed is more common in AZA, South American in EAZA)
Ocelot
American black bear
North American river otter
Patagonian mara
Mantled guereza
New world monkeys (golden lion tamarin, spider monkeys, howler monkeys, squirrel monkeys, white-faced saki)
Porcupine (North American, Brazilian, and crested all qualify)
Red river hog
Elk/wapiti
Birds (habitat):
Greater rhea
Helmeted guineafowl
Golden pheasant
Mandarin and/or wood duck
Swans (mute, black, and/or trumpeter)
Egyptian goose
Southern screamer
White and/or marabou stork
Grey crowned crane
Pelican (great white and/or brown)
American and/or Chilean flamingo
Southern ground hornbill
Birds (aviary/WE):
Raptors (bald eagle, golden eagle, peregrine falcon, red-tailed hawk)
Owls (snowy, barn, great horned)
Parrots (budgerigar, lorikeets, African grey parrot, macaws, cockatoos)
Toco toucan
Andean (funny word)-of-the-rock
Laughing kookaburra
Victorian crowned pigeon
Bali myna
Scarlet ibis
Reptiles (habitat):
Sulcata tortoise
Potentially other tortoises (radiated, red-footed, leopard)
Reptiles & amphibians (exhibit):
Geckos (tokay, crested, leopard, Madagascar giant day)
Chameleons (veiled, panther, Jackson's)
Cobras (Egyptian, Indian, king)
Smaller python (ball, green tree)
Snapping turtle (common, alligator)
Argentine horned frog
African bullfrog