VOYA OnLine has some great articles on gaming with kids at the library. They cover everything from board games to video games to Dungeons and Dragons.
Currently at our library we do board games and at my previous job, I started doing D&D with teens. I have never tried video games, but now the wheels are turning in my head. We don’t have consoles, but we do have a small laptop lab. Now I just have to find a multiplayer game that is child-appropriate.