Could you list off a few zoos? I only went off prior knowledge. There was some zoos I didn't put down because although they had a good Asian collection, there was a specific area for all of them.
Oh I did; Disney Animal Kingdom, Fort Worth, Miami, Pittsburgh, Erie, Atlanta, Kansas City, Louisville, Baton Rouge, and Audubon Zoo. Also thought of Point Defiance. Not all of them are big or great but they're Asian themed. I don't have total species lists for all of them, so some I'll just take from their websites and/or do my best recollection.
Disney Animal Kingdom: Maharajah Jungle Trek (another one of my favorites)
Tigers (Bengal? I can't remember)
Komodo Dragon
Gibbons
Elds Deer
Blackbuck
Lion-tailed macaque
Rodrigues Fruit Bat
Blood Python
Malayan Tapir
Over 50 species of birds
Forth Worth Zoo: Asian Falls
White Bengal Tiger
Malayan Tiger
Asian elephant
Indian rhino
Sloth bears
Zoo Miami: Asia Exhibits with impressive species list already posted.
Pittsburgh Zoo: Asian Forest
Amur leopard
Amur tiger
Reeve's/Chinese muntjac
Komodo dragon
Snow leopard
Erie Zoo: Wild Asia
Orangutan
Siamang
White-cheeked gibbon
Reeve's muntjac
Red panda (when I visited they just had some adorable cubs born out exploring their exhibit for the first time)
Green tree python, prehensile-tailed skink, and Asian water dragon
Zoo Atlanta: Asian Forest
Orangutan
Malayan Sun bear
Sumatran tiger
Clouded leopard
Red panda
Giant panda
Reeve's muntjac
Komodo dragon
Asian small-clawed otter
While not exactly in Asian Forest, the zoo also has raccoon dogs nearby
Kansas City Zoo: Tiger Trail
Sumatran tiger
Orangutan
Red panda
Binturong
Fallow deer
Francois langur
A variety of birds
Louisville Zoo: Islands
Malayan tapir
Babirusa
Sumatran tiger
Orangutan
Siamang
BREC's Baton Rouge Zoo: Realm of the Tiger
Malayan tiger
Sumatran tiger
Siamang
Various birds
Audubon Zoo: Asian Domain
White Bengal tiger
Asian elephant
Amur leopard
Rhinoceros hornbill
Indian crested porcupine
Sun bear
Babirusa
Asian small-clawed otter
Asian species of tortoise, goose, and stork
African lion (it was formerly Asian lions in the old days, now the exhibit talks about Asians and makes a note it displays Africans)
Point Defiance Zoo: Asian Forest Sanctuary
Asian elephants
Asian small clawed otters (they had some adorable newborn pups when I visited)
Clouded leopards
Indian crested porcupines
Lowland anoa
Malayan tapir
Malayan tiger (this is faded out now on the zoo's website)
Siamangs
Sumatran tigers
White-cheeked gibbons