My parents are gamers in a way. I don't think they've ever really played the same games as what my brother and I played in the past, occasionally my daddy would play against us in the Genesis Mortal Kombat games and would only play as Liu Kang. (Mainly because he's the only character he knows the special moves of)
But they're more app games and Wii folks than anything else. My mom's side has cousins' night every so often so they pick up the Wii and do the Wii Sports games. My 92 year old aunt beats them all... well, until my mommy told me that she bowled a 300. My daddy and my cousin go after each other in tennis.
My brother and I got our parents into Tapped Out, the Simpsons' app game where you have to build your own Springfield and such. They have their other games that they like to play such as a jigsaw game that my daddy has or Candy Crush that my mommy has.
It's cute when they both start asking questions about Tapped Out.