I should add that I do NEED silence - probably due to the intensity with which music hits me.
My favourite music genre is Metal, although I like a variety of sub-genres which include bands like Slayer, Machine Head, Dragonforce, and Helloween, but the general rule is that it has to be pretty powerful stuff. I love Dubstep, Hardcore Dance music, with bands like Pendulum and The Prodigy, but with increasingly higher-end gear (and increasing age!) I'm enjoying more Classical music too. However, it is all dynamic, intense, and powerful, and it's that intensity which really drives me and makes me Feel it. Listening through headphones usually makes music feel far more of a personal experience for me too.
Some music I like because of powerful emotional lyrics, more than just the intensity of the overall genre / sound. So there's the intensity and dynamic aspects which I really feel, plus emotional lyrics, and some "pop" music has the latter. My favourite band whose lyrics and mood changes, using major and minor keys, are ABBA. Many people think it's just meaningless pop, but if you feel the way the mood changes along with the lyrics, it doesn't get much more intense and emotional than ABBA - especially if you know the history of the band while they were recording and playing their music.
Going back to the need for silence, I'm very fortunate to live in a fairly rural area where it is very quiet at night, so I'm usually awake well into the night, free of the distractions which get a beat going in my head which makes me either dive into a listening session, or jump towards my Music Computer / DAW (Digital Audio Workstation) to record something. I FEEL the sounds that I play or create with synthesizers (physical or virtual) too, but I can't do that for more than a few minutes at a time due to my Arthritis. So whether it's playing or listening, I really feel music deeply, but I need silence too!
I would be very interested to hear whether anyone else Feels music as intensely. I used to think everyone felt music the way I do, and was puzzled when I found that most people don't!