The only thing that was ever banned from my house when I was younger was the "Woodstock" soundtrack album (the three-disc one). If you're at all familiar with that, you'll remember the "Fish Cheer". My mother didn't appreciate that at all. Still, even after the ban, it was in the house several times...I didn't own it, but a friend did.
As far as books or movies go, however, no, nothing was ever forbidden to me. Now, my parents got kind of nervous about some of the things I read as a pre-adolescent and adolescent, but they never tried to stop me from reading anything. The library ladies were another story; they wouldn't let me check some books out of the library...
Rosemary's Baby comes to mind...but I just sat in the library and read them, so their efforts were in vain.
It was funny, once when I was at a friend's house when I was about thirteen or fourteen and she showed me the top shelf of their bookcase and said those were the ones she wasn't allowed to read. I just laughed and started in, "Well, I've read that one, and that one, and that one..." There were several that I had read.
"Do your parents know you've read them?" she asked.
"Well, yeah. They bought some of them for me."
Poor girl just couldn't quite get her mind around that one.
EDITED TO ADD, for Lilmizflashythang: I was always under the impression that reading
is doing "something productive". But, yeah, my mother used to tell me to stop reading and go
do something. Never had much effect on me, however. It wasn't unusual to have most of the kids in the neighborhood playing in our front yard while I was inside reading. I didn't really play that well with others even back then.