Top 10 , Pedigree Cat Breeds, in America.br According to the International Cat br Association, there are 71 recognized br breeds of cats in the world. .br In honor of National Cat Day,br here are the top ten pedigreebr cat breeds in the United States.br 10. , Persian.br 9. , Maine Coon.br 8. , Manx.br 7. , Siamese.br 6. , Abyssinian.br 5. , Ragdoll.br 4. , Domestic Shorthair.br 3. , Oriental Shorthair.br 2. , Exotic Shorthair.br 1.