ninja Scroll!
Ghost in the Shell, and Akira my favourites.
- Akira
- My Neighbour Totoro (Tonari no Totoro)
- Spirited Away (Sen to Chihiro no kamikakushi)
- Princess Mononoke (Mononoke-hime)
- Paprika
- Grave of the Fireflies (Hotaru no haka)
Actually, my list continues with Hayao Miyazaki's movies.
It is better to check the all filmography of Hayao Miyazaki.
Ahh yes, you guys have good taste in anime films.
Ghost in the Shell II - Innocence is cool as well, great animation but it does get a bit up its own arse with its philosophy.
Some more old-skool classics are Vampire Hunter D, Fist of the North Star, and Perfect Blue.
Some newer ones: Vampire Hunter D: Bloodlust, Blood - The Last Vampire, and Tekkonkinkreet.
Most of the films I've mentioned are action/cyberpunk type films but Perfect Blue is a bit of an exception. It's a kind of psychological horror with elements of romance. Very interesting film, when I first watched it it wasn't what I was expecting but I enjoyed it a lot.