Furry characters in a non-furry series

[Trae]

I forget what she's called but she was in the anime OutLaw Star. She was kinda a neko and in the full moon she morphed into a wolf-beast.

You're thinking of Aisha Clan Clan.  Her species is Ctarl-Ctarl.

And another anime that had some was DB/Z/GT.  There weren't a whole lot, but they were definitly there.  In fact in Goku's first tournament in DB, the rules stated that "claws may be used, but only if they're natural."