From a completely objective standpoint, full-length movies are acceptable(such as Akira, Howl's Moving Castle).

Also, try and stray away from saturday morning cartoon anime if you wouldn't mind.

Personally I am slightly partial to Fate Stay Night, it isn't what I'd call amazing, but the mix of historical heroes and sorcery is basically enough for me to fawn over it like a fourteen year old girl fawns over whatever she happens to be looking at at the time.

How about you?