Apple
Bernard St Giles
Bigun'
Brain
Brainard
Dozer
Frank
Goldie
Jabba (as in Jabba the Hut)
Karma
Lightnin
Louise
Morpheous
Pookey
Salty VII
Sammy
Simon
Simone
Slowpoke
Thelma
Lola (actually Lolas 1 - 7)
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.