I made this classic music pack if anyone wants to hear some Manhattan Project/Turtles in Time tunes in place of the music in Shredder's Revenge.
This pack replaces the music for the NYC map in story mode, character select screen, all levels, and all boss fights. Works fine with online co-op.

Replaced pieces of music are as follows...

Character Select: Character Select (Turtles in Time, SNES)
NYC Map Screen: Overworld (Teenage Mutant Ninja Turtles, NES)
Episode 1: Big Apple, 3:00 AM (Turtles in Time, SNES)
Episode 2: Alleycat Blues (Turtles in Time, SNES)
Episode 3: Sewer Surfin' (Turtles in Time, SNES)
Episode 4: Versus Mode (Turtles in Time, SNES)
Episode 5: City of Half Shell (The Manhattan Project, NES, remix by coatlesscarl)
Episode 6: Big Apple, 3:00 AM (Turtles in Time, SNES)
Episode 7: Let's Go, Turtles! (The Manhattan Project, NES, remix by coatlesscarl)
Episode 8: Neon Night Riders (Turtles in Time, SNES)
Episode 9: Cowabunga, Dudes! (The Manhattan Project, NES, remix by coatlesscarl)
Episode 10: Alleycat Blues (Turtles in Time, SNES)
Episode 11: Prehistoric Turtlesaurus (Turtles in Time, SNES)
Episode 12: Starbase - Where No Turtle Has Gone Before (Turtles in Time, SNES)
Episode 13: Technodrome - Let's Kick Shell! (Turtles in Time, SNES)
Episode 14: Skull & Crossbones (Turtles in Time, SNES)
Episode 15: Going Up (Turtles in Time, SNES)
Episode 16: The Final Shell Shock (Turtles in Time, SNES)
Boss Theme: Climactic Battle (Turtles in Time, SNES)
Episode End: All Clear! (Turtles in Time, SNES)

Music on menus and in stage transitions are still default.

Put the "Music" folder located in this archive in the following directory:
Steam\steamapps\common\TMNT\Content\Audio

Remember to backup your existing Music folder in case you wish to revert back to the original soundtrack!