I have seen 2 Asiatic black bears in Capital of Texas Zoo (Austin) in July. Virginia's Richmond Zoo is also supposed to have them, as I believe Roger Williams Zoo in Rhode Island
Those are all correct. A drive-through "safari park" (the name escapes me) in Texas also had one, but it has passed away now. There are some in the private sector and other roadside zoos, I'd imagine.
Edit: Lions, Tigers, and Bears in California has at least one too, and there's at least one roadside place (I think California or Nevada) that I know for sure has one.