J.B.
We have a million PS3 games and none are first-person shooter. The Mario series is great - Mario Kart, Super Mario, etc. Lots of racing games - various Need for Speed games and other franchises that I forget. The best, though, are the Lego games - Lego Batman, Spiderman, Star Wars, Pirates of the Caribbean, etc. Minecraft on PS is amazing - my kids still play that on PS3 even though we now have a PS4 because they have so many worlds built up already. Also, the Disney Infinity games are great. That requires an extra add-on piece of equipment but you can get a used one for short money and it's well worth the investment. Very cool game and you can add on characters over time.
And don't completely pass up the sports games...older versions are often dirt cheap at Game Stop and for kids who aren't into playing sports in real life, playing via video game can be a nice, easy, comfortable way for them to enjoy the gamesmanship of sports without having to physically play, and as an added bonus it can familiarize them with the games themselves, which can be important social currency as one grows older, especially for boys. Not every guy needs to have played football or baseball or whatever, but being familiar enough with the more popular sports to understand the game and talk about it on Monday morning can help people - especially guys - connect with each other in social and work settings. I know he's still young but as I've watched my young adult son grow up, I was often struck by how important knowledge of sports was in a lot of settings. He only likes one sport and it took him until age 10 to find that, but he knows enough about the others to join in the sports banter at work or school or parties and most of that knowledge comes from having played FIFA or Madden or NCAA whatever games.