We have this at my office as well. I do my best to humour the guy, and he often plays good music, but occasionally plays rap, which immediately kills my concent

We have this at my office as well. I do my best to humour the guy, and he often plays good music, but occasionally plays rap, which immediately kills my concentration. I've spoken with my direct manager and my team about it, and the compromise is that whenever he's playing music I don't like, I simply put on headphones and go about my day. Everyone is totally cool with this arrangement, even the music man, who tries his best to be inclusive and will often ask everyone else (myself included) for musical requests.