The most notable example I can think of right now are Ghosts 'n goblins and Ghouls 'n ghosts.
Converting a game from a platform to another required a license to do so, of course, so I don't think they couldn't license the same music in the same way they licensed the game porting.
I also don't think that when porting to a more restricted platform like from Arcades to Commodore 64, there were technical limitations to what music could be performed. At least the music quality wouldn't be the same, but why change it completely?