GTAV was particularly graphic. It's one of the first game where I truly felt like "I don't think I'd let my kid play this game..." The terrorism torture mission, the very first introduction of Trevor, it's just things that kids should not be playing. A meth-addicted woman getting used by an abusive drug dealer while her meth-head boyfriend gets kicked in the head by you, the player is like ... too much. There's even more in there that I don't think an 11 year old should handle. Not things like running down cartoon-depictions of people in a car or even shooting guns out the windows at virtual targets or blowing up FBI helicopters with rocket launchers. Adult concepts like rape, realistic depictions of drug addictions, fairly explicit depictions of hard drug use, an obviously innocent person being tortured by the player with no way to skip the mission in order to do something that you know is wrong. As an adult I get it, and I get that GTAV is almost a parody of itself. But it's something that I don't think a young child (someone under 13 or 14) should really be experiencing in "game" form.
I always had the perspective of... My parents let me play Doom, Mortal Kombat, Duke Nukem, etc., which were the offensive games du jour, things that Hillary Clinton, Joe Lieberman, and Parents Entertainment Council were harping day in and day out were horrible and turning kids into monsters, and I became an upstanding member of society. So, I've always thought, "eh, kids are always more mature than we think they are..." But... playing GTAV as a 30 year old, I thought to myself "this is too graphic." The things about running over cops or going to a strip club, I'm like, whatever, they're cartoonish depictions that are way over the top and they're the first things I tried to do in games like "Driver," as a 13 or 14 year old. But the mission content in the game is really, really mature.
That said, 11-year-old here is probably going to be playing GTA Online. I think the allure of GTA Online is much greater than the allure of the main story mode for most 11-year-olds. GTA Online, surprisingly, is a lot more tame than the main game. Sure, you're involved in drug hits and Lester is a creep, but there's nothing abhorrently anti-social about the game like the single player, which I think cross the line into "eh... this is pretty bad..." territory. I don't think I'd let me 11 year old play it. Maybe 14.