I never realised it as a kid, but most of the cartoons I always used to be watching were of Anime origins. I love a good Anime film now too and got a few in my collection...
1. Afro Samurai
2. Afro Samurai Ressurection (Not as good as the first)
3. Casshan (The Series) Also got the live-action film as well (Casshern), which if you haven't seen it and you're an Anime fan YOU MUST WATCH THIS! Truly the best ever effort and live action Anime

4. Grave of the Fireflies (Studio Ghibli) Me and a best mate have most of the Studio Ghibli's between us.
5. Laputa Castle in the Sky (Studio Ghibli)
6. Samurai Champloo
7. freaking insane Away (Studio Ghibli)
Also have to love the classis Akira.