Popular culture in Japan lives to be adapted -- books become movies, which become manga, which become anime, or any combination of the above. And now, more and more anime are becoming live-action theatrical productions, in Japan and now in other countries as well. Here's a list of titles worth seeking out either as complements to their animated counterparts or just on their own.
Some of these are also adaptations from a source manga (e.g., Dororo), so I've tried to stick with productions that were originally anime, or where at an anime version also exists, and where a licensed English/U.S. release exists.