Favorite Animes/Mangas?

Have you looked into Code Geass? Given your favorite titles, you might want to look into that.

Personal favorites here, yo:
Cowboy Bebop
Baccano
Neon Genesis Evangelion
Mushishi
Tengen Toppa Gurren Lagann
The Melancholy of Haruhi Suzumiya [Season 1]
Higurashi no Naku Koro ni
Death Note
Welcome to the NHK

I'll dig up the recommendation chart later.

EDIT:
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Enjoy. There's an even better one that lists award winners and famous/infamous series titles.

I'll second the Code Geass recommendation for someone who likes the shows that you do. And I'll also second the big chart. The ones on that chart that I've seen range from average to amazing*, in my opiniion. You cannot go wrong with a show on the chart.

* With the exception of Gurren-Lagann, which I really did not like. But I'm an exception. Even though I don't like it, I'll still recommend it to you because it fits with the other shows you like.