I think most young people like classic rock. I know that is what I usually listen to probably 90% of the time when I'm in the car. Although I did grow up listening to it because of my dad, stuff like the Moody Blues, ELP, Led Zepplin, but I also listen to other things like swing, big band, jazz, ska, 80s, country, bluegrass, rockabilly, psychobilly, classical, 50s, etc, etc.
One thing I found interesting is when watching an episode of the Twilight zone. I don't remember what the episode was about just this scene. In it this young kid is listening to some fast jazz and this old man gripes about it and turnes it to an older station that plays a slower style of jazz. I started laughing when I saw that because that is really the same stuff we see happening now with music and the older generation. I wonder what new music will come out in the future when I'm some grandpa and the kids play what is popular.