I've listed some series below to give you an idea of what I like. Thanks in advance for your time.

Welcome to the NHK!
Kimi ga Nozomu Eien
Angelic Layer
Chobits
Neon Genesis Evangelion
Ai Yori Aoshi
Detective Conan
Death Note
Hell Girl

Fruits Basket
Azumanga Daioh
School Rumble
I also enjoyed Diamond Daydreams.