Great Big War Game is a modern military turn-based strategy game by Rubicon Development. In GBWG, players take turns moving their troops around the grid-based battlefield, adapting their strategies on the fly as they attack enemies with land, sea and air units. GBWG includes a Campaign mode with 50 missions, a Pass and Play mode where you can take your turn, press a button, then give the device to another player, and a Skirmish mode to play against the AI. Great Big War Game has an online mode as well where you can take your turn, upload it, wait for the opponent to do his or her turn, and you pick up and see how he took his turn, then repeat in till there is a winner.
View this page on Rubicon Development Wiki
The most recent version of GBWG is version 1.2.3, which fixes online play.
Much like its predecessor GBWG has received mostly positive reviews. IGN gave it a score of 9.5 out of 10.0 and an Editors' Choice award.