Virtual Pool 4. One of my absolute favourites. Brilliant in looks and realism, and benchmark title of the matter. In all regards: superb, superb, superb. Since release, online play was made available now, I think. The specs demanded are lower than your CPU, but GPU I do not know. You may want to try their free demo first. Virtual Pool 3 also is still available, with lower demands. It's the second best pool simulation on the market now.

What you know from live play you can use in this sim, what you learn in this sim you can use in real pool playing. Tables can be set up to your liking and skill. Pool variants, Snooker, Carambolage. You play the mouse like you play the stick!

No clicking for strength on a scale and then hitting a shoot-button.
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Hexfield cosim, free: Steel Panthers Main Battle Tank, and Steel Panthers WWII. available at Shrapnel Games' website.
Are you into
Chess? The free Arena GUI and any of the free engines for it.
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http://www.playwitharena.com/
Frozen Synapse.
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http://www.frozensynapse.com/ Check that video. Game has MP, SP campaign and SP mission generator.
Abalone.
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http://www.subsim.com/radioroom/show...hlight=Abalone