my dad was the one who introduced me and my younger brother to video games, he was playing pinball before video games existed and he eventually picked up an atari 2600 second-hand (when i was really young - for reference, i'm 29). since then my dad, me and my brother were always were always playing... even in elementary school, they let us use an old black and white to play NES with an eventual upgrade in middle school to a 13" color, although i was always a little obsessed (to the point that me and my brother got grounded from video games for 6 months for fighting). we also did play a lot outside when the weather was nice (basketball and mountain biking in the back yard...), and we were both straight A students, so there was little reason to keep us from playing through high school.
my mom on the other hand wasn't too fond. she knew the music as well as we did, and that was a bad thing. but as long as we were good, she'd rather have us play than get in trouble. and as long as we stopped when we were told. she still gets me games for birthday and christmas so she's accepted it at least.
when i visit my parents, i spend 80% of the time playing whatever old games i want (atari, NES, SNES, N64) while my dad watches (my mom usually goes on the internet to both escape the video games and my dad's nonstop talking). in grad school i also subjected my dad to probably 75 hrs of FFXII (including yiamat (sp?), which took me 6 hrs to beat XD).
so pretty accepting, but if we had ever stopped doing well in school (i have a master's, my brother almost has a Ph.D)... they wouldn't have been so accepting.