Rampart Chess 2.4
the author of this app says:
If you're a beginner, or ready to take on Garry Kasparov, Rampart Chess is the Pocket PC chess game for you. It features high resolution, beautifully-rendered chess pieces, a very powerful chess engine with 10 levels of game play, a two-player mode to challenge your friends, and a fully editable chessboard to set up legendary chess games or puzzles. Use Rampart Chess to learn the game, sharpen your skills, and enjoy hours and hours of challenging fun.
Pocket PC 2002/2003 or Window Mobile 5.0/6.0. Uses 560K of Storage Ram. Download redirects to developers web page.