I'm too young for the sixties explosion, although there was some good music in there. My cousin was a "freak" who was murdered young, and I inherited his record collection as I was heading into my teens. There was some very good stuff that didn't make the Hendrix/Beatles/Stones pantheon. Some of his best records were blues and jump blues from the 1950s, from which a lot of 60s artists had gotten ideas.
The Sixties had become a dead weight by the time I was deejaying for events. People who had barely reached 30 were saying there would never be music as good as their generation's. Uh huh. I later got to listen to people from the 70s, 80s, 90s, etc say the same thing.
My music was punk, post punk and ska, early electronic dance music, roots and dub reggae, cumbia, highlife, Afrobeat, and onwards. My advice is to go see musicans live. See every good band you want to see (and now, brutally, that you can afford to see). The magic doesn't change, whether you saw someone now seen as a legend, or you go see someone really good who probably won't get as recognized in the current climate. There are brilliant bands out there now. I admit, I don't get it all, or like it all, but gems appear as they always have. It's harder to find them, but keep digging. I know I do and it pays off.
If people tell you about an artist they really like, give it a listen. It only takes a couple of minutes to know if you want to explore it further.