Stolen from karmakanic and the additional Hero's Journey idea from manana: Load up iTunesAmarok (snooty Linux-user powers: ACTIVATE!), Select Shuffle and press Play w/o highlighting anything. Let nature take its course. No cheating.
I don't think that what I got was really indicative of my musical taste, but hey, I guess I should be happy that the collection is big enough that 35 tracks isn't a sufficiently large sample.