Xbox 360 will be streaming Japanese animé by way of Manga Entertainment. There's no date yet, but it should be arriving soon. Some of the catalogue is already available on Manga Entertainment's official website as well as YouTube, so this new feature will likely only sway fans who want to stream their animé on their TV without too much hassle.
All people with access to Xbox LIVE Gold will have access to full length episodes, movies, and clips.
If I have to suggest any animation from Manga Entertainment's catalogue, it would be Baccano!, Dead Leaves, Ghost in the Shell Stand Alone Complex, and Monster. Yep, I'm telling you to skip Bleach and Inuyasha.