What kind of music can you just not stand to listen to?
Long as the song's in question got a good melody, is well crafted and competently executed, I'm pretty open. I find some stuff boring, like basically anything with "core" as a suffix, and frankly would rather hear a good singer like Sam Cooke or Irma Thomas than any indie rock whine, but I can put up with most anything. I don't care for atonal stuff or music that's intentionally bad in a "humorous" way, but that's about it.
Admittedly, I didn't always think this way but one does grow.