I grew up listening to a lot of the same kind of music my folks liked, so there was no banning. The worst song I had heard up until I was 12 was "Laura" by Billy Joel, when he says, "here I am, feeling like a fucking fool."
Then
Appetite For Destruction came out...
My parents banned that one because of the "Explicit Lyrics" sticker on the cover (thank you Tipper Gore). But because they had no idea what they were doing, they had no problem with me buying the 45 rpm of "Welcome To The Jungle" - with "Mr. Brownstone" for the B-side.
I wasn't a "push-the-envelope" type of kid, so that was all they had to deal with. My younger brother, though, was into much heavier music (Korn, Slipknot, etc). They tried to ban his music for a while, but soon realized (with my help) that words are just words, and to be honest, they couldn't rely on the advisory stickers on the front to do the parenting anyway.