Others thought it might be a nice technique to apply to other games, such as checkers or GO. Chellapilla and Fogel trained checkers players using techniques similar to those used by Tesauro for his backgammon player.
There has also been some work done on applying similar techniques to GO players, such as Nici Schraudolphs work on applying temporal difference learning neural networks to GO.
Another reference is the work from J. Baxter et al. applied to the game of chess. Check out "TDLeaf(Lambda): Combining temporal difference learning with game-tree search", available here.