I've only seem a handful of series, mostly from my boyfriend's recomendations or tv; however, our tastes are somewhat different as I could not possibly stand to watch all of the different Gundam series he has. I'm not fond of action shows where substance is only an after-thought or series that drug on endlessly. Harem anime is not my cup of tea either.

Things I've seen and enjoyed:
Serial Experiments Lain
Kino no Tabi
Ghost in the Shell
Cowboy Bebop
Neon Genesis Evangelion
Nausicaa of the Valley of the Wind
.hack//SIGN
Azumanga Daioh