I read everything in the house, almost. There were some volumes from my grandfather's library I passed on--lives of John Calvin and John Knox, Carlyle, and others. Mostly my parents allowed me to read anything.
I do recall one discussion of whether I was old enough to handle a novelized version of the Donner Party. I don't remember the author--it was a poet/novelist written in the 1930's or so, not listed in the wikipedia article. Not sure whether mom or dad was more hesitant, nor whether they came down with a decision. I think it was unresolved, so I went ahead and read the book. Not sure how old I was, young, pre-teen almost certainly.
This was sparked by the discussion of book-banning, particularly Bob Somerby's defense as in this post.
While I've some sympathy for his viewpoint, in my ideal world we'd trust kids, librarians, and teachers to do the right thing. There's a chance, a small chance, that the wrong person reading the wrong text too early in their life may be adversely affected. But the chances are small and the adverse effect small as well.
All of the above discussion relates to voluntary reading, but I think the same logic argues against against mandatory reading and for the ability of kids and parents to opt out of one reading and into another.