I'm thinking about getting into more anime after I'm done watching Breaking Bad. (Season 1 episode 2 right now). Now this isn't just for me, but anyone else who wants a recommendation. All you have to do is...
Experience: I've seen Bleach, Attack On Titan, DBZ (of course), Full metal, Afro Samurai, Bayonetta, Devil May Cry, X Men, Iron Man, Wolverine (ugh), Blade, and Naruto.
I'm sure alot of people want others to enjoy an anime. I keep hearing things about Death Note. Not sure about it.
Recommend only one? Ooh, what to pick...and hopefully, not one someone else has already said, lol.
Um...Fate/Zero! It's really, really good, in my opinion. Excellent animation, great fight scenes, character development and interaction, and the characters are complex, none of this "absolute good or evil" stuff (which I still like too, but it's good to find characters that you can understand the motives behind, as well).
Edit: Gah, I'll recommend a couple of others. Totally with VW on Durarara!! (the antagonist is just...*evil grin* well, I like him). Also, Code Geass has been pretty good to me, thus far. Black Bullet is another decent one.
Seriously, I could go on, but I know it takes time to go through anime, and sometimes, it's easier to watch one at a time in order to get a good feel for it.