Lord Monarch

it's kind of a mix of puzzle and kingdom management.

you basically can just let the game go automatically, and for the first few levels you'll win, but sometimes you'll need to intervene in key situations. it was originally made in japan, but the company translated it for free.

www.falcom.co.jp/monarch/index_e.html

also, try Vantage Master - a hex based fantasy summoning tactics game with great graphics, by the same folks as above.

www.falcom.co.jp/vantage/index_e.html