Comedy:
Trigun (although it does get much more serious about halfway through. A personal favorite)
Slayers (A few sexual references, but you never see anything, and it's all in good fun. Overall a hilarious show all the way through.)
Drama/Serious:
Gasaraki (Haven't seen the whole thing yet, but it's a good show. It's a more realistic take on the mecha genre.)
Boogiepop Phantom (Excellent series. It has one of the most interesting storylines I've seen in awhile, and while it starts off a bit scattered, it comes together beautifully in the end. Highly Recommended)
Serial Experiments: Lain (Strange. Very, very strange. It's a good show, but don't watch it unless you're really in the mood to sit and ponder over the deeper meaning of things.)
That's about all I can think of at the moment.

