A classic for starting is the NES sound chip (Ricoh 2A03). It only has 5 channels and is very straightforward to use. FM chips like the one in the Megadrive or Commodore 64 have a way steeper learning curve in comparison.
Such a simple chip and yet it was capable of producing amazing music in the right hands. Tim Follin created some legendary game soundtracks with that chip:
https://www.youtube.com/watch?v=DzTDAgG4EXk
https://www.youtube.com/watch?v=peuTnilEv9g
Feels very proto-Hotline Miami to me