Is there an mmorpg where you can be an anime person

Yes.

Maplestory - not really anime, but cute
Mabinogi
Dream of Mirror
Trickster Evolution
Fly For Fun
Tales of Pirates
Fiesta
Nostale

Also, try Grand Fantasia which has a good story line, clean design and lots of players to interact with, comes with a pet and a branching class system. It's one of the newer anime mmorpg titles to come out.