Just the other day I was talking about more in-depth strategy games for iOS, and here's one: Great Little War Game is a pretty deep tactical warfare game built specifically for Apple's platform. It's based on what's essentially a hexagonal system and is very similar to Advance Wars for the DS, with cartoony little troops fighting little tactical battles. There are a few different types of units and goals to play with, and while the game's technically a little off, the gameplay is extremely solid, with clean and clear controls and lots of strategies to use and learn.
The game's model is interesting as well -- there is a core campaign (and