Archie
Bailey
Basil
Bridget
Flower
Forrest
Gracie
Mani (Manny)
Mileena
Pepe
Puffkin
Stinky
Sweet Pea
Lily Ann
Tangie
Jewel
Taz
Also, see the alphabetical list of all names. There are some names for pairs of animals, too.
I regret that I will no longer be able to add names to this list.