In our family:
I watch FMA,Trinity Blood (oh man, you know my list)
Their dad SOMETIMES watches Princess Mononoke, because there is a scene of some arms being ripped off and a head being shot off by an arrow. Then there's Spirited Away only one scene and that's Ubaba's big baby. Then, there is anime-style Boondocks*
*Word of Caution:
This is anime style, not anime and it is for mature audiences only. There is vulgar language and some partial nudity. I don't recommend buying the DVDs. That's why parents need to watch some of these animes to understand and be there for any questions that may arise.