I listen to classic rock (The Band, Fleetwood Mac, Dire Straits, Pink Floyd, and so on), classic country (Willie, Waylon, Merle Haggard, Johnny Cash, and so on), bluegrass (any and all) and a small sub-set of current country-leaning artists (Jason Isbell, Sturgill Simpson, Shooter Jennings, and so on).
Growing up (80s & 90s) I listed to radio country when I was young. Listened to alternative (Smashing Pumpkins, STP, Bush, etc) as I got older. Had a rap phase in high school and college. I still like to go back and listen to this stuff on occassion.
I also don't mind current catchy pop music, but I don't seek it out. If my wife is playing it it doesn't necessarily make my want to rip my ears off.