Kachou Ouji, Detroit Metal City Recommendations
You may like The Legend of Black Heaven if you have seen Detroit Metal City other way around I don't know as Detroit Metal City feature very bad language and sick humour.
But both animes contain music in rock genre, the main characters also have two kind of life style or personality and they have some problem with their relationships too while they performing or what ever it calls.
The protagonists of both series are hard rock/heavy metal guitarists. Both anime series were also named after their rock bands (Detroit Metal City and Black Heaven).