http://www.onemanga.com/directory/top/
1-4: Naruto, Bleach, One Piece, Fairy Tail. These all have blood and violence. They generally don't have much sexual content, though there is occasional mild fanservice.
5. Hajime no Ippo. It's about boxing. There will be blood. And broken bones, and so on.
6. Full Metal Alchemist. Pretty gosh-darn violent. Dark, too.
7. History's Strongest Disciple Kenichi. Guess what: it's another fighting manga! Less bloody than you might expect, actually, and I'm pretty sure they keep the sexual content down to PG-13 levels. This one would probably get through! Way to go, Apple!
Skipping #8, because I've never heard of it...
9. Hunter X Hunter. Quickly flipping through it at random turned up a page in chapter 28 where a murderous nightmare clown is carrying a severed head. Pretty tame sexually, though.
10. No Bra. There is no way in hell this would pass any censor, anywhere, ever. Moving on,
11. Mahou Sensei Negima. Oh dear lord, no. It's not just the violence, although it has violence aplenty. It has pretty vast amounts of sexual content, most of it involving characters who are, at most, 15 years old. (Fun fact: has a freakishly long TV Tropes page.)
This kind of strict policy doesn't just block a lot of manga; it blocks almost all of the most popular manga. It's madness, and the policy's only redeeming virtue is that it probably won't be applied consistently, so they might let some stuff through that they would have blocked if they'd been more thorough.