The whole reason I play video games is because my parents did. Some of my earliest memories was being crammed on the couch with my parents and sister, trying to wrap my head around Missile Command on an Atari VCS (2600) before the age of three. When we got an NES, the common thing was after we were put to bed, we'd hear the screeching of tires in R.C. Pro-AM. Or the music from Ice Climber. Or the frantic quacking of Duck Hunt.
Many years ago I gave my folks a Nintendo DSi XL for the holidays, with a bunch of games. When I went back for Mother's Day, I noticed the DSi XL was blue instead of white... because they bought a second (blue) one so they could both be playing games at the same time.
Dad plays a lot more on his iPad nowadays given his vision, but things like Chris Sawyer's top-notch iOS port of Roller Coaster Tycoon. He'll AirPlay it to the TV so him and mom can collaborate, or to show houseguests his parks. Or he plays Firaxis's great ports of the modern X-COMs. Mom likes Stardew Valley quite a bit, though still breaks out the Professor Layton series on the DS.