You can find all of these on kissanime.com

Series
Neon Genesis: Evangelion (action)
FLCL (action)
Shingeki no Bahamut (fantasy / action)
Hoozuki no Reitetsu (gag comedy set in hell...fantasy?)

Movies
Akira (action)
Ghost in the Shell (action)
Patlabor: The Movie (action)
Patlabor 2: The Movie (action)

Other good stuff
Tatami Galaxy
Dennou Coil
Nasu: Summer in Andulasia (movie)
Kaiba
Ping Pong the Animation