I don't categorise music in genres, but quality. I listen to anything and everything under the sun.
The artists i like (if not all, atleast some of their songs) are:
The Beatles, Elvis, Pink Floyd, Rolling Stones, Sting (and The Police), Abba, Eminem, Enigma, Gregorian, Paul Oakenfold, Moby, Bryan Adams, Bon Jovi, RATM, Meatloaf, Green Day, Shania Twain, and many many more.
Apart from these artists, there are a whole bunch of talented artists in my home country (India) like Lata and Asha, Kishore, Rafi, Mukesh, Shaan, Udit, Kavita, Ustad Nusrat Fateh Ali Khan and a whole lot of composers like the great Pancham, Rehman, Shankar, Ehsan Loy,... (I know that none of these guys are familiar to u all, but I love them). Apart from their private albums we have film music too (thats right, Indian movies still have that song and dance routine).
Anybody who'd like to hear any of them can ask me for a link, I'll provide the same.