Thinking about calling it cyber-labyrinth.
The idea is to get to a target site from another starting website by only using your mouse and clicking on the links that you see within your browser. The first person who gets to the target website's home page wins.
For example. All users start with CNN.com's home page in their browser and have to find their way to Techcrunch.com.
It can be a multi person game. No limit on how many people can play it at the same time.
Bonus: Think about doing exposing the sites in some sort of iframe page, and have random start and end point sites. Enough people join a session and the race begins. In the mean time while people are clicking away, you collect the data about which site is linked to another one without having to crawl the web. Do this enough times with enough users, you will have high level view of site links. Of course, long tail, low level pages' data will not be collected, but that can be another game.