Revolutionary Choices: A strategic decision-making game about the Continental Army’s path to independence—complete with a classroom guide
besthistorysites.net
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Freecol and Freeciv: Open-source, colony-building and civilization-simulation games inspired by Sid Meier’s Colonization and Civilization—great for U.S. history context
besthistorysites.net
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en.wikipedia.org
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Argument Wars & Race to Ratify (above) also have simulation elements, letting you step into historical roles and influence outcomes