It may be Batman: Gotham Knight.
This anime movie was released as a tie-in between Batman Begins and The Dark Knight. The first story (titled Have I Got a Story for You) is about four kids that share stories about Batman, kind of "I saw him once and he looked like this". One of the kids describes him as having a robotic armor:
For another, he was sort of a vampire and could fly with his huge wings:
One other kid describes him as able to turn into a shadow. The fourth kid never saw Batman, but then Batman and the bad guy he has been fighting across those mini-stories show up where the kids are skating, and this fourth kid gets to see Batman and he looks normal.
Other stories involved Batman trying a device from Lucius Fox that would deflect bullets; Batman fighting Killer Croc, The Scarecrow and Deadshot; helping two GCPD officers who get caught in the crossfire of rival gangs; and a story of Bruce Wayne learning to control pain. All episodes are anime, but Batman may have slightly different looks in each one of them.