Here's the two that I'm not going to go with.
1. Card Tower - A physics simulation. Players use cards to build , you guessed it, a tower. Various test would be implemented for structural integrity of the build. (This idea seemed pretty boring and would require too much of a twitch input method, so I decided against it.)
2. Trade Towers - (Notice that these titles are very generic and both include Towers) This was a game focused heavily on economic elements. There was four regions each containing a tower and the whole objective was a competition of resources and over all moral of the populations of the regions. The design did not include any violence and was solely contingent upon world variables and trade relations. The scope of this game could be kept simple and would have been fun to do, but I decided to go with a different idea.
The Winner - Scarecrow : Enigmatic Ascension - This will be a game that will introduce players to the world of Wrath of the Scarecrow. It will follow the path of Kakashi before he was sent to the realm of trial, and will tell the story of how he became the scarecrow. The game will be a side scroller, with no violence once again. This game will contain purely puzzle elements and should be a decent precursor to the prologue of the series.
A week is a short time. I better get started.
That idea sounds interesting, maybe a bit too interesting for a week long competition [smile]. And your summary has a distinct lack of towers (I assume they're hiding).