Conquest! Medieval Realms has a new no-risk lite version. The game, which is part of Slitherine's foray into mobile, is out for iOS in its full version already, but for the noncommittal wargamer, there's always the ability to try it out for free. The game features five levels of AI in a series of randomly-generated maps.
It is, naturally, set in the Medieval period, and you must defeat opposing armies to take over their lands. There are a couple of modes in the full game, which is available as an in-app purchase if you like the lite version.