I listen to what most people don't; metal, rock and some artists I don't know where to put in. I don't like popular music, such as hip hop and else, but I have nothing against it cause my friends like it.
I like when the lyrics are meaningful and I love bands with female and male vocals (which are also called 'beauty and the beast'). I also love when bands add some instruments that aren't in other metal bands, for example violins or even folk instruments such as hurdy gurdy. :D
Besides music, I love exploring history of genres and bands, that's why I'm mostly attracted to norwegian black metal because of its interesting past.
Here are some links:
http://www.youtube.com/watch?v=XB3GND8Lotg
Blackmore's Night, they're kind of an older band I guess but their music's awesome
http://www.youtube.com/watch?v=48NFsZkoahs
Siouxsie and The Banshees, also an older band
http://www.youtube.com/watch?v=mpbdNkb8lcw
Therion, metal band from Sweden
http://www.youtube.com/watch?v=reGlno9aUpw
Within Temptation, one of my first bands who I got a chance to meet