I used to be a huge anime freak back in my highschool days, now i watch anime very rarely and only when it comes recommended by some of my close friends who keep up with the news regarding this universe, personally i lean towards more serious-mature content so you may not like my list, altho i include some classics, those never fail:
Slayers
Vision of Escaflowne
Neon Genesis Evangelion
Mahou Tsukai Tai
Vampire Hunter D
Robot Carnival
Otomo Katsuhiros Memories
Papritka
Perfect Blue
Serial Experiments Lain
Monster: Horrible Story
Ghost in the Shell (the movies, and the series, EVERYTHING GITS, EVEN THE MANGA....AAAAAALL OF IT!!!)
Cowboy Bebop
Lensman, secret of the lens
Robotech -- Macross (Specially Macross Plus, i LOVE YOKO KANNO)
Gurren Lagan
Samurai Shamploo
Wolfs Rain
Time of Eve
Great Teacher Onisuka
and a big ETC i guess...
EDIT: oh! also Millenium Actress and Azumanga Daioh (i love this anime, makes me feel really relaxed and at ease, not to mention its hella funny xD)