S.T.A.G.E. on 02 September 2013
Don't want to overwhelm you, so you should start off with these (because theres many, many great anime films or seasons that you haven't seen then).
Ninja Scroll
Gantz
Samurai Champloo
Trigun
Vampire Hunter D
Hellsing
Ergo Proxy
Full Metal Alchemist
Rin
Street Fighter 2