If I were one of my kids, I'm not sure I would 1) be as into music (given what's out there today) and 2) not sure I would be compelled to have to research old bands to find things I like.
If you have any teenagers or college-age kids in your life, pick their brains about this topic a little bit. You may be surprised.
My daughter (college junior) is into not much 21st-century music -- she likes some Bruno Mars, Katy Perry, George Ezra, Sam Smith and a few other odds and ends, but that's it for this century. Her favorites right now, through, are The Kinks, Pink Floyd (including the Syd Barret material), Blondie, Talking Heads, The Cure, Oingo Boingo, Bon-Scott-era AC/DC and a bunch more I'm forgetting. She also had gone through a Beatles phase in her early teens.