I don't like to listen to Music if I am playing in a Live Game as I am already hard of hearing and do not want to Call an all-in by mistake which has happened in the past, On-line however I can see what the Call is going to cost me so have little to fear there. But my wife hates the constant clicking noise of bets going in and I have to wear headphones when I play.
Some times I will have music Videos playing on Youtube or even watch a
poker game on "Twitch" while I play, switching between Screens when I am not involved in a hand, But I really should be concentrating on the action at my table as you lose too much information doing other things, even if you are not actively involved, there are some things you can spot other players doing which they will repeat in similar situations, and from this type of information you get to know how to out play them.
My favourite Groups at the moment are "Cold Play" and "Maroon 5" but I can listen to any type of Music On-line.