Sphynx, image credit: 1petloversworld.com. "You can call it the Sphynx, the most famous hairless cat breed in the world. Originating in Canada in 1966 when a single hairless kitten named Prune was born. The Sphynx seems like a relatively new breed. However, hairless cats can be traced back to the time of the Aztecs! While they appear completely bald, the Sphynx's are actually covered in a light "peach fuzz.""