I think of the term 'Video Game' as a PS2, XBOX etc game, Arcade sites are just... different, I don't really know what I call the games on it, other than ArcadeGames or Online Games =/.
I'm probably not your target demographic, but "video games" sound online gaming-ish to me. Think miniclip.com and the huge success they've had, and they term themselves as "games" and "video games".