I appreciate their talent, but I'm not a particularly big fan. Not that I never listen to them, and "Good Vibrations" and "Sloop John B" are my favorite songs of theirs. I've got no problem with them.
Not many, really.
My dad has really great taste in music, he just quit listening to it because of his religious beliefs (not in a "music is sin" way, but he became disinterested). But the music he likes is a highlight reel of late 60s, early 70s rock.
I did go through a brief phase where I was into disco, and he didn't particularly enjoy that. I don't much care for disco anymore, although the Bee Gees are a good band. I actually feel very similar to them as I feel about the Beach Boys.
My mom was never very particular. She didn't hate much of anything. Her favorite bands were/are Uriah Heep, REO Speedwagon, George Thorogood and such. Inoffensive.
Neither of my parents are particularly musically opinionated.