Or how about a flash game where you're presented with an empty box. You're told to draw a line of a certain length and you get more points if your line goes ove

Or how about a flash game where you're presented with an empty box. You're told to draw a line of a certain length and you get more points if your line goes over the least popular paths. It would probably require some pre-crunching of the numbers, but I would imagine you can plot all of the points for the graph in order to determine scoring. Although thinking about it, I'm not sure if you'd be rewarding randomness or just rewarding deviation from the norm.