How many kinds of cats are there?

Too many, but there are 37 kinds of pure cats certified by cfa:

Abyssinian Abyssinia Cat

American bobtail cat

American curly-haired American curly-eared cat

americanshorthair

American hard-haired cat

Ba Li Mao in Bali

Beermann Baimanmao

Mumbai Meng Maimao

british shorthair

Burmese cat

Chatterley cat

Color short-haired cat key color short-haired cat

Cornwall rex Cornwall curly cat

Devonrex German curly cat

Egyptian cat

European Burmese cat

Exotic short-haired cat

Havana is brown. Haha, the brown cat.

Japanese bobtail cat

Java cat

Collart Collart cat

LaPerm Labang cat

Maine coon

Isle of Man tailless cat

Norwegian forest cat Norwegian forest cat

Ocicat Ouxi Cat

Oriental shorthair

Persian cat

RagaMuffin's tattered cat

Doll cat

Russian blue Russian blue cat

Scottish folding Scottish folding cat

Selkirk Rex selkirk Curly Cat

Siamese cat

Siberian cat

Singapore cat

Somali cat

Sphynx Canada hairless cat

Tokyo cat

Turkish angola cat

Turkey Fan Turkey Vatican Cat

There are too many unlicensed civet cats, such as lion cats, hawksbill, cows and so on.