I have very obscure tastes.
I love classical music and traditional folk music.
I also love alternative rock, specifically 80s and 90s college rock. Miracle Legion is my favorite rock band, but I also love bands like REM, Collective Soul, Grant Lee Buffalo, James, Innocence Mission, The Smiths, Pixies, Jesus and Mary Chain, Roxy Music, Blondie...I sense this list is getting too long already!
I tend to categorize everything, so finding my favorite songs or composers is really difficult. It depends on my mood.
I've been really interested in baroque lately, Vivaldi, Teleman, Correlli are some of my favorites. I love Beethoven and Schubert from high classical, I love Debussy, Ravel, Poulenc, and Greig as impressionistic composers. I love Russian (Stravinsky changed my life) and Swedish composers the most. I also love music scores as well, my favorite score is from The Red Violin.
If I named traditional folk songs I enjoy, I'm not sure if anyone would recognize them :/