I would say SDZSP has the best in the US that I have seen, with the extensive safari park and african woods area.
I really like Denver and Tampa's Asian sections. Woodland park zoo, Phoenix zoo, and Omaha also have nice looking exhibits.
For Asian sections I am very fond of Miami’s section and the rhino reserve at Oklahoma City zoo. The San Diego Zoo Safari Park has the best tiger exhibit I have ever seen. And is one of the few zoos with a dedicated Asian Savanna area. I wouldn’t be surprised if they had the best Asian ungulate collection in North America.
How about Bronx? I believe they get quite a bit of Asian ungulate, and of course you get the monorail.
I think that Bronx is a very good example of a good asia section but there is a lot of controversy over the Elephants
I have a special affinity for one of the male orangs at Woodland Park. I was there one day and the keeper emptied a bucket of vegetables in front of him. He carefully picked through the pile and threw away the broccoli. All I could think was, "Brother!"
Phoenix Zoo does NOT have an Asian section. Maybe you are thinking of Tropics Trail? That includes animals from tropical areas including South America (though not sure I would consider the Andes habitat of the Andean bear tropical), Southeast Asia, and even Florida (alligators).