Outlaw Star is not homophobic, first of all.
Bebop is noir sci-fi (focus on how little humanity changes, low and hi tech meeting, drama over relationships), Outlaw Star is pulp sci-fi (space battles! Super guns! And a guy with a crew of hot women on his super special ship! Gene is a more reserved version of a Buck Rodgers or Flash Gordon, but he still gets the girl in the end), and Dandy is satire of sci-fi.