try broadway. there are shows that are hip hop (hamilton, in the heights {most modern shows have a song or two that have a lengthy rap portion})
there are shows that are all rock (The Who wrote a show called Tommy. Rent has a TON of electric gutiar and drums. one of the main characters is a rock star.
in broadway post 2000, its a lot of pop. Sara Berelies and Cyndi Lauper have written shows (waitress and kinky boots.) spongebob has songs by, Yolanda Adams, Steven Tyler and Joe Perry of Aerosmith, Sara Bareilles, Jonathan Coulton, Alex Ebert of Edward Sharpe & The Magnetic Zeros, The Flaming Lips, Lady Antebellum, Cyndi Lauper, John Legend, Panic! At the Disco, Plain White T’s, They Might Be Giants, T. I., and songs by David Bowie, Tom Kenny & Andy Paley. its wild and they are all really catchy.
just give it a try. if you want more suggestions, message me.