Hey, I saw your signature, I know of some GREAT anime, though I don't think they're everyone's type of anime:
Neon Genesis Evengelion (dub or sub, both are good): One of my favorite anime, it gets very psychological from episode 16-26, not for people who are easily offended by religious things, undertones, ect. (wear a helmet for episodes 25 and 26, unless you WANT brains on your ceiling!) (warning: has high amounts of blood and gore, and mild nudity)
H2O: Footprints In The Sand (sub): Lots of ecchi (if you don't know what ecchi is, you might not want to look it up, to describe it vaugely, it's very pervy)
Case Closed/Meitantei Conan (I prefer the dub, but the sub is watchable): Awesome if you love detective stuff, forensics, or anything like that, it's kind of hard to describe without spoiling it.
Elemental Gelade (once again, I prefer the dub): Although it is kind of cliché, it's good if you like the Action-Adventure genre and Sky-Pirates.
Full Metal Alchemist and Full Metal Alchemist: Brotherhood(dub or sub) The original series is mostly filler, while Brotherhood is more faithful to the Manga. One of the best Action series out there, IMO.
Seargent Frog/Keroro Gunsou(SUB IS MUCH BETTER! The dub replaces too much with lousy pop culture refernces, and has horrible voice-acting): Don't know what to say about it other than it's hilarious, if you like Comedy, you'll love this!