There's a pretty big difference between born in the early /mid 50s boomers and the born in the 60s boomers. Summer of love, Vietnam, assassinations, protests, riots, Beatles, Dylan, Elvis... Us born in the 60s saw none of that, outside of grade school anyway. For me it was cold war, Led Zep, the Who, Talking Heads, the Cars, James Taylor, The Eagles, Elvis Costello, Joe Jackson, Dire Straits, Lynyrd Skynrd, The Police, REM...
I have seen some people split the boomers group in two, with the moniker the Jones Generation for younger boomers.
I am not into most new music, but I find Gaga amazing and Taylor Swift at least listenable