I kinda feel fortunate that I never got big into video games. I am old enough that I grew up playing pinball (at which I will kick your ass) and I remember when the first kid on the block got Pong.
I did play the early 8-bit type arcade games...I dug Centipede, Missile Command, and was especially good at Galaga.
But Playstations and Xboxes...my teen daughters have them and I like to watch them play sometimes, but I just think "No way could I learn my way around that joystick, and if I was playing that game, all that would happen is I'd get killed a dozen times per minute and my blood pressure would skyrocket..."
I can certainly see the appeal though.
So what vidya games do teenage girls play these days?