Chess - Play Chess against your phone or against other players all over the world.
TripleA - TripleA is a free (under GPL) turn based strategy game based on Axis & Allies board game.
Gloomhaven - Gloomhaven is a Role-Playing, Strategy, Board Game, Single-player, and Co-operative Multiplayer video game issued by Flaming Fowl Studios.
ThumbZilla - Awesome thumb stomping and kicking action game.
Agricola - Agricola is a Board, Strategy, Card, Deck-Building, Single-player, and Multiplayer game in which you have to start playing the tactical adventure game over the tabletop, make strategies, and get victories against your friends.
Warlight - Warzone is a customizable Risk-like strategy game where you compete with your friends to conquer the world.