David Kershaw of DK Simulations (an Android Wargame developer) has put up on Google Play a free game called Wargame: Poland 1939.
It can be seen/played here if you have Chrome or Firefox, but IE is playing up.
http://www.kerpob.com/p39_chrome/
Here's the request for playtesters thread over at BoardGameGeek.
http://boardgamegeek.com/thread/949458/playtesters-wanted-operational-scale-fall-weiss-fo?
Here's the development thread over at BGG
http://boardgamegeek.com/thread/900098/design-diary-wargame-poland-1939/page/1
It's also available for iPad and Android!
It's hex and chit shuffling, too!