I agree that anything by Miyazaki is usually pretty good.

I would also say Sailor Moon, but I have a feeling that it is not your kind of show! :S

So here's a list I think you might enjoy:

Amatsuki
Baccano!
Chrno Crusade
Code Geass
Cowboy Bebop
Elfen Lied
Escaflowne
Eva
Fate Stay/Night
Full Metal Panic!
Ga-Rei -Zero-
Gankutsuou
Ghost Hound
Kaze no Stigma
Kekkaishi
Kyou Kara Maoh!
Lovely Complex
Mobile Suit Gundam 00
Mobile Suit Gundam Wing
Natsume Yuujinchou
Ouran High School Host Club
RahXephon (totally not an Eva rip-off)
Rental Magica
Shounen Onmyouji
Tengen Toppa Gurren Lagann
The Melancholy of Haruhi Suzumiya
Welcome to the NHK!
Witch Hunter Robin
Zegapain

I dunno exactly what genres you like so I just gave a list of a variety of things.