Tokitowa could be the closest thing to playing an anime yet
You seriously have to check out this trailer for Tokitowa, an upcoming PS3 RPG. The team behind the project has been very vocal about their graphics engine, noting just how close it is to true anime. Don't be fooled by the profile scenes. The real amazing stuff comes in from the short gameplay blips.
Yes, the scenes of characters running around and fighting is actually gameplay and not just a video. That looks seriously impressive to me. I'm not much of an RPG fan, but now I'm dying for this to get localized.