I missed his when it launched last month but Polarbit has brought their slick Chess: Battle of the Elements game to the BlackBerry PlayBook. This game offers up the classic Chess experience with 3D graphics thrown in for a nice experience. It has an adjustable difficultly level along with letting you play the computer or a friend. They also have some chess puzzles thrown in for fun. This is by far the best chess game I have seen for the PlayBook so far and really shines on the device.
You can pick up Chess: Battle of the Elements for your PlayBook for $1.99 in App World. They do have a cross platform trailer that you can check out below: