In need of a new Anime to start watching

If any of you could suggest some Anime shows you think I would like that would really help as there are so many I don't know where to begin!

My favorite Manga and Anime shows are: Bleach, Dragonball series, Deathnote and One Piece.
I've heard Naruto and Full Metal Alchemist are very good. Any help is appreciated.

Thank you.

Code Geass
Fullmetal Alchemist Brotherhood
Great Teacher Onizuka
Hunter x Hunter 2011
Hajime no Ippo
Fairy Tail
Gurren Lagann
Eyeshield 21
Baccano!
Ao no Exorcist
Naruto

i will second Gurren Lagann.
if you haven't seen it, you are missing out.
one of the 10 best anime ever imo.

All the anime that SpeaR said are very good.
Also try:
Full Metal Panic!
Black Lagoon
Deadman Wonderland
Gundam 00
Trigun
Shakugan no Shana
Ga-Rei Zero

Irresponsible Captain Tylor
Record of Lodoss War
Yu Yu Hakusho
Kenichi The Mightiest Disciple
Kaze no Stigma

I'd also agree with Gurren Lagann and Black Lagoon.

Full Metal Alchemist
it's not just good, it's amazing!