I enjoy all kinds of music but I particularly enjoy traditional korean music. If you are interested in listening to some, the best album to get started with is the OST album for the Korean movie Sopyonje.
It starts with a bamboo flute instrumental titled
Thousand Year-Old Millenium Crane. The instrument is called daekoom, my favorite instrument, which sounds similar to shakuhachi although I think it's deeper and coarser in a satisfying way that sooths (actually more like hollowing) the aching parts of your heart (lungs?). Some daekoom songs will leave you totally drained emotionally though.
Then it moves on to several pansori songs which to me sounds like a fusion of rap and opera. I just love pansori! The only problem is that the CD might be difficult to find outside Korea.