I'm not sure if there's any number of people here interested in this or not, but it's worth a shot. Go ahead and knock out a list; I just started looking into manga a few days ago though so that one will be pretty short. I really like it though; there are many titles in manga entirely devoid of the kiddy-giddy stuff that gives anime such a bad name.
Anime:
Blame! OVAs (37 minutes total, based off disjointed parts of the manga).
Bleach (the Soul Society arc).
Death Note (first season, not the second).
Elfen Lied.
FLCL (there isn't a person alive who can't love FLCL).
Ghost in the Shell: SAC 2nd GiG (title of the second season).
Haibane Renmei.
Serial Experiments Lain (brilliant).
Texhnolyze.
Manga (told you the list would be short ):
Blame!
Biomega. Link (somewhat violent pic; you are warned don't sue me).