As a 14 year old person who doesn't like anime, I'd say cowboy bebop is pretty amazing.
It's Number 1 on my list of 5 or so anime I really like.
The music? Perfect, even if you don't like it, I dare you not to fall in love with either the OP or the ED
The characters? Well done and developed, without taking to much time out of the series.
It also averts the usual trouble with pacing most anime have, with it's tendency to turn each episode into essentially a short movie.
But that's just how I see it.
It probably helped that the dub was amazing, too.