Not when I was younger, but as I aged my tastes have enlarged. I bought a Nat King Cole collection (my dad’s favorite) but my wife won’t let me buy any Andy Williams (my mom’s). Maybe that one is for the best after all. I’ve also taken a liking to classic country, which my mom listened to until she died (literally). I think I can hear my bother’s eyes rolling from here.
I miss my folks…
My parents listened to awful music that was made 20 years before I was born whereas I listen to cool music that was made 20 years before my kids were born.
We generally listen to one radio station so the kids listen to pretty much the same stuff that my wife and I listen to. My daughter isn’t really “into” music but my son loves Green Day. I’m not a huge fan of them, but I like them enough.
I am 35, and I grew up on oldies stations and still love music from the 50s, 60s, and 70s. I also love country music from the same era. It must run in my family, because my mom loves big band and swing music that she got from my grandpa, and so I also heard a lot of it and developed a love of it as well. I like a lot of newer music, but really most of my favorites are from my parents era and earlier. But I guess I’m strange.
My dad (born in 1930) was into the Beatles before most Americans - he bought the “She Loves You” 45 on the Swan label when it first came out. He turned me on to rock, classical, country, most genres before I was 10. We shared eclectic musical tastes his whole life.
Ben makes everything suave. But Roy Orbison is for old people whose doctors recommend they don’t let their pulse rise over, oh, 25 bpm or so.
I was more in to my parents’ music than they were into mine, and this has repeated with my daughter. Probably a factor of exposure.
On the other hand, she has made remarks about my “weird music”. OK, I do like some odd ones - often because of their oddity. I mean, the bluegrass version of Queen’s “Fat Bottomed Girls” is just SO appropriate. 
Not to mention the Tom Smith and Leslie Fish stuff.
There is overlap. Like my mom and dad listen to stuff like CSN(Y) and all kinds of classic rock. So do I. My mom got more into 80s music, funk, R&B. Me, too. My dad stayed in the 60s and 70s.
When I was a teen I mostly listened to hard rock and rap and later underground hip-hop. My teen son also listens to hard rock and rap, but he’s more into nu metal (or whatever it is they play on current “mainstream rock”) type stuff than I am, emo stuff, and he’s more into commercial pop/rap than I was, which I find surprisingly raunchier (and more accepted) and ignorant than my day (partially I’m getting old and partially it sucks).
My dad likes Sinatra.
I like Bach.
I avoid classic rock radio cause I heard it too much growing up. They still listen to that sort of thing still. I asked my mom if she gets tired of hearing the stuff over and over and she said no. They’ve been listening to the same bands since they were in their 20’s (they are now in their 60’s). I do listen to older bands like Pink Floyd, the Who, the Beatles and the Stones, but not on the radio. I hate mainstream radio.
My mum was into Barry Manillow, Olivia Newton John, Johnny Mathis, Petula Clark and generic pop music when I was a kid. Dad didn’t often listen to music but he owned albums by Charlie Pride and a bunch of others I don’t remember, and he had some County and Western compilation album that got played a lot so I assume Mum liked it too.
I’m a true teen of the early nineties and my musical taste runs to grunge, alt rock, heavy rock and some metal - gosh, what luck that I was born in time for their heyday.
So far, my kids are young enough that I’m still imposing my musical taste on them, but there are small breakouts of their own interests happening. Mackelmore, Katy Perry, Miley Cyrus. I live in hope my intense early brainwashing will triumph.