I don't watch too much japanimation any more, but my all time favourite would have to be Astro Boy. Tezuka rules. He also did Kimba, but that is not about robots and was stolen by Disney (which is ironic as well as possibly the highest complement Tezuka could be paid as, he always loved Disney animation and aimed to emulate it).
Oni would kill me for saying this but, Cowboy Bebop is enjoyable. Quite old now (a little bit older than NGE) but great fun still.
If you think you are a fiend, watch some Urotsukidōji. It is the archetypical tentacle rape anime everyone associated Japanimation with during the 90's.
I picked up a video based on the cover some years ago called Dead Leaves. It's a really good short blast-fest film.
Then there is the quite odd short series called FLCL (Fooly Cooly). It's slightly dated bet still great.