kalirion: Cowboy Bebop is great, Samurai Champloo is good.
I personally could not fully enjoy Trigun because of the Vash's "no kill" attitude. Same with Kenshin TV series (Trust & Betrayal OVAs were great.)
For the Netflix folks, I highly recommend Baccano.
TRIGUN SPOILER!!!!!!!
I, personally, found the pacifistic nature of Vash actually enhanced the story. If he had no problem killing, then the tragedy when he is finally pushed to the point in which he HAS to make that very, very, very horrible choice (which really ISN'T a choice) would have lost all impact.
His outright defiance of taking a life is something I support fully, as it is a view I take very much to heart. Violence doesn't end violence, it only extends it. It is a mindset not enough people in the world have, taking a life never fixes anything and only causes more suffering and pain. My personal views aside, as I have stated so much is built up on his defiance to fall into that social "norm" in an old west setting.
The whole story is built up around that he holds all life so dear, that the loss of even a single life is something that is truly devastating. I realize much of that was instilled in him by Rem, but it no less is part of the fiber of his very being. In conclusion, to detract from his pacifism would greatly detract from many of the Trigun's core themes and values.
/end spoiler
That being said, Cowboy Bebop is one anime that has some really really BEAUTIFUL music. While Samurai Champloo has some really unique and interesting Feudal period Japan vs. modern musical styling. Something that I can really appreciate about both series'.