Batman: Gotham Knight (2008)
Dirs. Various (see below)
An anthology with six shorts from various Japanese animation studios and a number of different Asian directors. There's no frame narrative tying the works together, but most, if not all of them, do seem to share the same continuity and the whole thing is unified somewhat by having Kevin Conroy be the voice of Batman throughout.
The first of them, by Studio 4°C and directed by Shōjirō Nishimi, features four kids at a skatepark trying to outdo each other as they relate the story of their individual encounters with Batman. It's a highly stylised work, varied even further by each child putting their own spin on the event.
The second is by Production I.G. and directed by Futoshi Higashide in a more traditional style. It follows two Gotham detectives who get caught in the middle of a gang shootout.