We've just posted a new game called AmoebaWar.ege to the EveryGame Google group.
To open the .ege files, remember that you can download them, rename them to .zip, and then double click to open them.
AmoebaWar isn't a complete game -- more a work in progress / technology demonstration. It should give you some good ideas for implementing a miniature or wargame. In particular, it has examples of:
* Simulating free movement with a grid of small squares
* Selected different terrains by picking them from a tab-based menu
* Tapping pieces to show their movement / attack range
AmoebaWar also makes use of several features that will only become available once EveryGame version 1.3 is out. You won't be able to see them until it's available, but a peak in the xml file will give a preview. You'll get more control over tab placement and naming, the ability to annotate pieces with their names, and a whole lot more!