I may be INFJ, but I've always had an unstoppable INTJ-like rational side to me. I like anything complex, from various Baroque, Romantic, Impressionistic and Contemporary era 'classical' music, to experimental electronic. My preference is generally for the latter, but I feel I can potentially appreciate any music or sounds, albeit critically.
Some of my all-time favourites are Autechre, Plaid, Bola, Venetian Snares, Björk, Aphex Twin, and more indie artists along those lines. I definitely do enjoy hip-hop or hip-hop influenced artists, like UNKLE/DJ Shadow, and other DJ work.
I generally stray from mainstream and avoid the radio, but if a song catches my ear, I'll take it.