My dad once played Civilization for about a week in college. He also played Wii bowling with my sister and I once. That's it.
While my mum does play decent stuff on the DS, like Professor Layton, she's recently become obsessed with FarmVille, just like everyone else seems to be I guess.
Me and her used to play a lot of games together when I was younger, mostly puzzle based. We spent forever on Myst and Lyra Croft, mostly because we'd turn it off every few seconds to look for walkthroughs. I miss thoughts days.