I'm 21 and I live in another town than my parents, so they haven't got much say in it, but they didn't mind when I lived at home either. I have a brother and sister, and they played more games than me, so I never really had any troubles there. My parents aren't any gamers, my mom played a little Mario 64 and that's about it. My dad got hooked on Puzzle Bobble for SNES a while back too.
I'll add in my siblings too 'cause they're a bit old. My sister, 32 years old, is mostly into survival horror, puzzles, adventure, etc. Everything from sierra type point n click games like Gabriel Knight to Resident Evil to Phoenix Wright.

She even orders games from usa every now and then. Heck, she has both a Wii and a PS3. My brother, 29 years old, is mostly into WoW, racing games, FPS, etc.
So yeah, my taste is almost like my sister's. She doesn't like Final Fantasy, though.

Tried to get her into it a few times, but I don't think she wants to like it.