 If you liked
Sakamichi no Apollon
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 ...then you might like
Ballroom e Youkoso
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While the stories in these are quite different, they both give me a similar vibe. Very stylish and fun. Good character drama and progression, though I would say Kids on the Slope handles some of it's drama-focused plot points a bit better. They both put lots of detail into what the characters are performing (jazz or ballroom dancing).
Genres are a bit different, but they're still very close to real life ( dancing and music). When main characters finally get to do the thing they're meant to do or have a talent for, their lives changes. They find a good friend who keeps them practicing and getting better, there's also a girl that our protagonist starts liking. Nice music, great animation and engaging story.