The general war was actually between Great Britain on one side, and France, Spain, the Netherlands, and the new United States on the other. However, only the French were acting as direct USA allies. (The Spanish, for obvious reasons, weren't real keen on the idea of helping colonies in the Americas revolt).
If this sounds complicated, it was, and the treaty negotiations to end it all were even moreso. For starters, France insisted on USA independence being recognized up-front, which is why the Treaty of Paris covered only that and not the grievances of the other parties.
If that sounds oddly like altruism on the French part, I can assure you it was not. They were purposely delaying negotiations this way so that they and the Spanish could try to take Gibraltar. Sadly for them, they failed miserably. As a result, all Spain managed to get was Florida (half of which they had conquered, and the other half they traded for the Bahamas) and Minorca. France, which was bankrupted by the war, did even worse. They essentially traded back everything they took from Britain for everything Britain took from them, with the exception of Tobago and a small bit of land in Africa which they got to keep.
The Dutch fared so badly in the war that they actually did pretty darn good just to get most of their prewar possessions back. The Brits only kept the parts that were in India proper.