Oi.

I have a small problem, I'm out of anime to watch and I was thinking someone here could help me.
I don't consider myself a anime expert so I'm looking for help from you guys.

I like mature anime that relies on complex characters and a good story to tell.
I can't bring myself to watch a single bit of fan service (Which I find more and more prevalent in new anime)
I don't mind some shounen elements but the genre isn't something I particularly enjoy.

Anime I enjoyed immensely and similar to which I'm looking include

Cowboy Bebop
Monster
Kids on the slope (Sakamichi no apollon)
Berserk
Trigun
Ghost in the shell


I hope the people here who have more knowledge about anime can help me.
Pretty please!