Give names of good animes

[Vance]

Hmm, well, this might be a repeat of the above, but here are some very big, very famous titles with universal appeal.

Cowboy Bebop
Trigun
Neon Genesis Evangelion
Vision of Escaflowne

I'd start with those. Very solid and anyone can get into them (although to truly appreciate Bebop's excellence at every level you should have some film history and some working compositional knowledge, and Evangelion has been known to be a bit too philosophical and self-reflexive for some.)

You will dig all of them though.