Theophanes is a New-England-based blogger, traveler, writer, photographer, sculptor, and lover of cats. Hairless Cat Names: Sphynx Cat Names and Ideas for Other Hairless Pets. Naming animals can be a fun and amusing activity, especially when the said animal happens to have some unique characteristics. Dogs, cats, rats, mice, hamsters, rabbits, guinea pigs, and probably a few other animals now come in hairless varieties! For those that find them endearing (rather than hideous), a list of clever names may be in order (as they are like potato chips—you just can’t have one!).