Better Than Chess is described as 'Chess website with rich features'. There are more than 25 games similar to Better Than Chess for a variety of platforms, including Windows, Android, Mac, Online / Web-based and Linux. The best alternative is Lichess, which is both free and Open Source. Other Better Than Chess like games are Chess.com (Freemium), Lucas Chess (Free, Open Source), DroidFish Chess (Free, Open Source) and XBoard (Free, Open Source).
DreamChess is an open source chess game featuring "Dreamer", a moderately strong engine. Any XBoard-compatible chess engine (Crafty & GNU Chess) will work for varying degrees of difficulty. Includes 3D OpenGL graphics and various board sets.
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Jin is an open source, cross platform, graphical client for chess servers, written in Java. Jin can run either as a standalone application (available at this website) or as an applet, directly from your browser (available at the chess server's website).