Just about everything. I started with classical (probably still my favorite genre) but eventually:
1. Was researching weird time signatures and found Take Five by Dave Brubeck which got me into jazz.
2. Playing the game Particles, I absolutely loved the music - Twilight Techno by Dimrain47 - and eventually started listening to trance quite a lot.
3. In between all of the dull music at a high school dance, I heard the noticeably better Sandstorm by Darude and started on techno.
4. After someone decided to put Survivor's Eye of the Tiger on at a party, I looked it up and discovered the awesomeness that is rock.
5. I heard Raise Your Glass by P!nk on the radio and started to appreciate pop.
6. Going through the Top 50, heard the country song If I Die Young by the Band Perry, search, replay x5.
7. One day when I was feeling very gloomy, I heard Evanescence's Bring Me to Life which not only made me feel way better, but sent me into metal.
I can even appreciate rap on occasion. Written in the Stars, anyone? The only music I categorically dislike is anything with a ton of swearing or extreme heavy metal.