Originally Posted by Tengu_temp
In addition to what people recommended:
FLCL. It's a silly slapstick comedy, incredibly strange mind screw and a touching coming of age story at once, the animation is very good and full of energy, the soundtrack is absolutely amazing and from what I know the dub does a great job. And if you somehow don't like it - it's only 6 episodes long.
I'll back this one up, the dub bit anyway. It's not as good as the original audio, but it is very watchable, which is far better that most dubs are.
I'll throw in Ghost in the Shell: Stand Alone Complex. One of my favourite dubbing jobs, and it's a great cyberpunk futuristic sci-fi series that even non-anime likers I've shown it to have enjoyed (: