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