All complete series except where noted:

Cowboy Bebop (+ the movie)
Trigun
.hack//SIGN (minus the last DVD)
Big O (first season, waiting for the second)
Hellsing
Martian Successor Nadesico
Tenchi Universe
Irresponsible Captain Tylor
Macross Plus
Laputa
Spirited Away
Lupin the III: Castle of Cagliostro
Full Metal Panic (first 2 DVDs, waiting for the rest still)
FLCL
Great Teacher Onizuka (first 2 DVDs out of, I think, 12)
Ghost in the Shell
Armitage III
The Cat Returns
Haibane Renmei (first DVD)
Serial Experiments Lain

EDIT: Forgot a couple