Kat: Be the disappoint. Predictably, he loves classical. He's also incredibly fond of jazz (though that's sort of a necessity, if you're a Gothamite). We know, from canon, that's he's at least listened to pop/rock (UHM THE BEATLES... FOR ONE... THAT COUNTS) and I do think he keeps in touch with mostly samplings of modern music and genre, if only for fear of being outside of the know.
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Except country, he doesn't listen to that.
Not only to spite you, even.