More or less seconded. Most of the stuff I was going to suggest is here anyway.Casual Shinji said:Akira
Ghost in the Shell
Ninja Scroll
Tokyo Godfathers
Perfect Blue
Paprika
Neo Tokyo Labyrinth
Robot Carnival
Memories
Jin-Roh
Patlabor
Patlabor 2
Laputa: Castle in the Sky
My Neighbor Totoro
Kiki's Delivery Service
Princess Mononoke
Spirited Away
These are really the top dogs.
There's also other lesser, but still enjoyable ones, like Street Fighter 2, Spriggan, Vampire Hunter D, Sword of the Stranger, Arrietty, and Redline.
Also, check out Ruroni Kenshin: Trust and Betrayal (OVA). It's a 4 episode long prequel, that is best watched just like a movie (It can be enjoyed as a stand alone work, because it makes little reference to the main series).
Also, if you're willing to watch 11-13 episode long anime series, check out Puella Magi Madoka Magica because I feel the need to tell everyone (because its so good). Also completely self contained with a complete story.