I gotta say the best I've seen was Ichigo 100%. But FLCL ( Furi Curi) is a close second. Ichigo 100% was never dubbed into English but the fan-sub is still around. It's my favorite because it's very ecchi and the situation the protagonist is in is so heart-wrenching.

I haven't seen evangelion but I've read it's very good, also consider how long ago the series was made and how people still discuss it's relevance. I've also heard many good things about bleach and Fruits Basket ( although the latter is only a manga ) .