My parents didn't censor my reading or TV (in fairness, back then TV was pretty consistently family friendly).
'Smile Time'
Literary Buffistas 3: Don't Parse the Blurb, Dear.
There's more to life than watching Buffy the Vampire Slayer! No. Really, there is! Honestly! Here's a place for Buffistas to come and discuss what it is they're reading, their favorite authors and poets. "Geez. Crack a book sometime."
I only remember trying to censor my mother's reading, because she was reading YA along with me, and I eventually read something where the Did It, and I didn't want my mother to know I had read that. I don't think I was ever interested in anything really inappropriate, though -- assuming you think Agatha Christie is appropriate for small children.
Don't know how small you mean, but at 11 or 12, I read a lot of whodunits from the public library. Although I preferred Ellery Queen and Erle Stanley Gardner to Agatha Christie.
I found the Beany Malone series in our library when I was a kid (not mystery, to be clear, just circa early 1950s kids' fiction), and I LOVED them.
I also read a lot of my mom's romantic suspense, like Dorothy Eden and Phyllis Whitney.
I was into the Poirot at probably 9 or 10. So murder, but light!
My parents had rules about TV and movies, but not books. My mom was definitely better about guiding me towards age-appropriate stuff - I think my dad sort of mentally logged anything he read before age 30 under "stuff I read as a kid" so his notion of what I was ready for at age 10 was a little skewed.
My parents never censored me either, though my mom frequently made dire predictions about how "all that stuff" I read was going to end up in my nightmares. It got to be a running joke, as she was still saying it to me until the past couple of years. My mom is a very slow reader; I suspect she may have some mild reading disorder the way her brother and mom do, so she just didn't read much. My dad, otoh, read medical thrillers and mysteries and was pretty much never without a book in hand. I think the one time they ever gently steered me away from a book was when I found Clan of the Cave Bear on the bookshelf and took it to my mom to see if she thought it would be a good book for me. Heh.
I read Anais Nin off my mother's study bookcase. But I was in high school.
I was totally non-censored by parents, but teachers and librarians tried to censor my reading, which never worked. I was reading Little House AND bodice-rippers. But I was a reading mutant, as has been established.
AFA reading Divergent, personally, I think the discussion/warning/read if you want with discussion tack is appropriate. As a parental figure, I veto some TV/film/videos but am very much non-censory when it comes to books. I give warnings, and talk about the book. M is a pretty good self-censorer when it comes to stuff, in saying "I think this might be too scary for me" and we go from there.
"Where The Red Fern Grows" was THE most upsetting book I read before age 12, and I was reading all KINDS of crazy stuff with sex, violence, death and monsters.
Was there another book with a title like that, but with lilies? I remember something like that traumatized me.