I like pretty much anything other than shounen anime (though that really isn't a definitive thing, I'll watch anything if it's good enough).

Cardcaptor Sakura
Eureka Seven
Tengen Toppa Gurren Lagann
Ichigo Mashimaro
Neon Genesis Evangelion
Trapeze
Nodame Cantabile
Kaiba
Chobits
Kare Kano
School Days
5 Centimeters per Second
The Girl who Leapt Through Time
Pretty much anything by Miyazaki/Studio Ghibli