How about a great Native American word ... Diogi, pronounced Dee-Oh-Gee (or D, O, G!)
A buddy of mine had an English Springer Spaniel he always called Diogi or at least what he always said was pronounced Dee-Oh-Gee. I once asked him what the origins of the name was. He immediately went into this long line of crap about Native Americans and their gods of huntings, etc, on and on... he finallly said "Hey John, it's really just D O G spelled out loud.
Always thought it was a cool option.
Ok, some real names now ... Fritz, Schnitzel, Bandit, Scooter, Auggie .... or .... Heidi, Gretchen, Dutchess, Schatze