But...
There's a lot of tropes and stereotypes played with masterfully, ironically, humorously, and, strangely enough, straightly, throughout the series, blending East-Meets-West in a delectable fusion not unlike it's outstanding soundtrack.
Blues; Jazz; Rock; Western; Classical; the list goes on-and-on, each "style" represented and counterpointed by its particular episode.
Science Fiction. Comedy. Drama. Action/Adventure. Cowboy Bebop has something for everyone. And, unlike most series that tries to be "everything for everyone," Cowboy Bebop somehow manages to succeed.
Watching Cowboy Bebop is only half the experience; listening is as much a part of the pleasure. Like putting on your headphones and cuing up your favorite playlist of various styles of music, and letting each piece pull your emotions this-way-and-then-that, until at the end, you're satisfied and yet strangely melancholy; you've laughed, you've cried, you've reminisced fondly in turn.
That's Cowboy Bebop.
