I would just cut the power cord from the game and toss it in the trash. No way that baby would get power then and there would be no reason to worry.
Heck, a lot of times I just fill my game room with non-working games anyway. That way there are games in there and I don't have a risk of whatever it is you are afraid of...I guess that would be 'easy access to playing them'...maybe?
We have three 20amp lines going into our game room and around 25+ games. I never unplug them.
Heck, we use to keep all the games on 24/7 (for months) without any fears, until I became unemployed.
-Tim