Sakamichi no Apollon, Carole & Tuesday Recommendations
Both shows are directed by Shinichiro Watanabe and are about music with the main performers being a person from a rich family and someone whose working hard to try and make ends meet. Essentially, Carole and Tuesday is Kids on the Slope with the main characters being females and in a futuristic setting like that in Cowboy Bebop.
Both series follow characters who change their lives immensely thanks to music. Both show issues that are relevant to teenagers from their respective eras. Both have amazing soundtracks.