Don't have a handy list for movies so this is all from memory...and thus probably missing a bunch:
Akira
Blood: The Last Vampire
Castle in the Sky
Cowboy Bebop: Knockin on Heaven's Door
Digimon (the first three that were bundled as one in America)
Eden of the East: The King of Eden
Genius Party
Genius Party Beyond
Ghost in The Shell
Grave of the Fireflies
Howl's Moving Castle
Kiki's Delivery Service
Memories
Millennium Actress
Mind Game
My Neighbors the Yamadas (forget if saw the entire thing)
My Neighbor Totoro
Nausicaa of the Valley of the Wind
Paprika
Perfect Blue
Pokemon (the first three)
Ponyo on the Cliff by the Sea
Porco Rosso
Princess Mononoke
Spirited Away
Summer Wars
Sword of the Stranger
Tekkonkinkreet
The Animatrix
The Girl Who Lept Through Time
Tokyo Godfathers
Vampire Hunter D
Vampire Hunter D: Bloodlust
Mind Game is one of my favorite movies, anime or otherwise. Pure awesomeness.