I know France lost Louisiana/New France during the Seven-Years war, but what was the effect on the other American colonies (Haiti, Lesser Antilles, Guyana) and the French Indian possesions?
I know a few things about the Haitian Revolution and a little bit about what happened in Guadaloupe.
Bluntly stated, the French Revolution had tremendous effects on Haiti, determining the course of that country's own Revolution in important ways. Laurent Dubois' 2004 book Avengers of the New World has a great summary of this, I recommend reading it in full:
The slaves who revolted in 1791 organized themselves into a daunting military and political force, one ultimately embraced by French Republican officials. Facing enemies inside and outside the colony, these Republicans allied themselves with the insurgent slaves in 1793. They offered freedom in return for military support, which quickly led to the abolition of slavery in the colony. The decision made in Saint-Domingue was ratified in Paris in 1794: the slaves of all the French colonies became citizens of the French Republic. These events represented the most radical political transformation of the “Age of Revolution” that stretched from the 1770s to the 1830s. They were also the most concrete expression of the idea that the rights proclaimed in France’s 1789 Declaration of the Rights of Man and Citizen were indeed universal. They could not be quarantined in Europe or prevented from landing in the ports of the colonies, as many had argued they should be. The slave insurrection of Saint-Domingue led to the expansion of citizenship beyond racial barriers despite the massive political and economic investment in the slave system at the time.
So as we can see, the French Revolution spread ideas of egalitarianism and liberation across the world, certainly and especially to France's colonies, and Haiti was no exception. The Haitian Revolution fed off the French Revolution, and many French Revolutionaries stoked those flames, such as Jean-Paul Marat inveighing against racial inequality (chapter 5).
The course of emancipation was a little different in Guadaloupe, where slavery actually disappeared but then reappeared some time later. According to another book on the subject, also by Laurent Dubois, the political culture of the French Revolution encouraged "gens de coloeur" and slaves to assert that the ideals of liberty and equality applied both to all men and all of France's colonial holdings. The Trois Rivieres Insurrection further underscored the Revolutionary argument for emancipation as black slaves demanded to be made citizens so they could become soldiers and fight for the Republic. Alas, by the turn of the 19th century, when Napoleon came to power he looked at France's colonies and thought that emancipation had led to chaos and disorder. Slavery was (quite brutally) re-established in Guadaloupe, though attempts to do so in Haiti--or "Saint Domingue," as it was known in those days-- met with failure, and the country secured its independence. So yes, the French Revolution had a major impact on French colonies.
Sources Cited:
Laurent Dubois, Avengers of the New World: The Story of the Haitian Revolution (Cambridge: Harvard U. Press, 2004)
Laurent Dubois, A Colony of Citizens: Revolution and Slave Emancipation in the French Caribbean, 1787-1804 (Chapel Hill: UNC Press, 2004).