GNU Backgammon:Free program that analyses your play, makes suggestions, estimates FIBS rating, and luck rating.
Ariston Backgammon: Shareware program with neural net based logic.
Bgblitz: Professional Backgammon Software for Windows, Mac and Linux.
DailyGammon: Play tournaments and matches against others online. Though turn-based, you can play several moves at a time when the opponent's move is obvious or forced due to predictive lookahead.
David's Backgammon: Shareware program with a graphical interface, speech and sound. Play against the computer or another person. Windows and Macintosh versions.
Gammon11: A free multiplayer online program.
GAMMONLAB: Freeware program for playing practice games and matches. Offers match analysis and position evaluation.
JellyFish: A neural net based program that plays at a very high level.
MaxGammon: Shareware program with 3D color, adjustable skins, strong AI, network capability and multi-language support.
MVP Backgammon Professional: Shareware program for windows with three skill levels and free online play.
Romar Backgammon: Freeware program to play against the computer, or against a friend online.
Snowie Professional: Tool that allows analysis of matches with a user-friendly interface and neural net based logic.
WoodyGammon: Downloadable Windows software for one player or network play.