What anime should I watch next?

I really enjoyed One Piece, but the plot may be too slow for you... You might want to check out Amatsuki, if you're into the complex stuff... The manga keeps you going 'WTH' all the time xD if we're going with character development, definitely Naruto and Bleach on that list, because they are probably the best in that category.

Blood + is pretty cool as well, but it gets a bit depressing (Saya really annoys me later in the series -.-)

Theresa has listed quite a few good ones, though :D

A few of these i'm going to suggest do have fan service in them, but honestly you can't avoid them. I'll try to keep them the minium though

For story wise: Durarara, Samarui champloo, the fate series, gunslinger, mushi-shi,steins;gate this is really hard when you only have netflix, sorry...

Character devoplemt: magi (a little bit a fanservice but a lot), Noragami (ish), soul eater (a few boobs but very little), The devil is a partimer (this one have romance but the character development is pretty damn good, just watch it. Please)

maybe try using kissanime or a anime website?

Cowboy bepop?

Inu yasha?

The Seven Deadly Sins is a good one.

Madoka Magica is good too.

salam