My list of kitties I have seen

To keep it simple I'm just listing the species for the more commonly kept species.
African Lion (including white)
Asian Lion (London Zoo)
Jaguar
Amur Tiger
Sumatran Tiger (Toronto, Lowry Park Zoo)
Bengal Tiger (African Lion Safari, Toronto Zoo)
Generic Tiger (Toronto, Busch Gardens, Safari Niagara)
African Leopard (North Carolina Zoo; no longer exhibits the species)
Clouded Leopard (Toronto, Buffalo)
Snow Leopard (Toronto, Buffalo, Ross Park Zoo, Jungle Cat World)
Amur Leopard (Safari Niagara, Jungle Cat World)
Chinese Leopard (Toronto Zoo, Jungle Cat World)
Cheetah (Toronto, African Lion Safari)
Bobcat
Canadian Lynx
Eurasian Lynx (London Zoo, Jungle Cat World)
Caracal Lynx
Leopard Cat (Killman Zoo)
Black-footed Cat (Riverbanks Zoo, I believe)
Sand Cat (London Zoo, Jungle Cat World)
Serval
Cougar
Ocelot (North Carolina Zoo, Jungle Cat World)
Fishing Cat (I *think* it was Riverbanks)