I don't have a particular set of songs I listen to when drawing simply because I will get hella bored with them really quickly. My spotify playlist is 400+ songs right now and that seems to provide the bare minimum variety for me to enjoy. I don't know why this happens to me. However, when I was starting the drafts for my current series, the ZABA album by Glass Animals put me in some kind of weird moody state of mind that was perfect for the story. Right now, I found the band GRiZ, so that's my current playlist. Soon enough I'll be bored with them.
By genre, it might depend on what I'm drawing. There is a particular character that I will only listen to electro-swing music while drawing, for example. When I'm stressed, I will sometimes forgo music and listen to ASMR videos on youtube. They're weird, but they help in some way.