This is one of those times when you can get something for nothing! The brains behind Brane Games have designed several games which are playable on a chess board or on a board you can print out yourself.
Rookery and Synod are played using a standard chess board. They are diverting, lateral games for two people using rules which will be easily understood by players who are familiar with chess. Instructions for playing both of these games are available here.
Triangles is also a two-player game, a fresh twist on the traditional pen-and-paper game of 'squares'. Print out a copy of the board and play with a friend!