My dad doesn't, and I'm not sure he's ever played any games in his life. However, he seems to have played the PS1 games we still have, and every time I go to sell them online or whatever (as I don't play them anymore - we still have a PS2 at the moment to play them on) he says to not do it as he'll eventually want to play them...
As for my mum, she's a casual gamer. She used to play Crash Bandicoot ad Spyro the Dragon, before those series jumped the shark, and she has her own Wii and plays stuff on there. Plus she's borrowed my DS a few times to play Mario Kart and Professor Layton games. She actually got me into gaming by playing the PS1 years ago, but she's not exactly a nerd about it and hates when I spend more than two hours at a time playing games (which is actually better than before - she used to limit me to one hour a day when I was younger, before I went to university...).