I would imagine that there would still be subsequent uprisings due to the causes of the American "revolution" still being in place, added to the resentment of military subjugation. So, basically like the Irish, except a larger land mass on which to rebel.
If the French Revolution still happened and Napoleon still rose to power, the Napoleonic Wars would be different. Instead of the Louisiana Purchase, the British Empire would have just taken the territory in war. Would this have been another French and Indian War?
If the French Revolution didn't happen, would the Franco-Prussian War not have happened, and thus the Franco-German series of conflicts and the positive feedback cycle involving war, territory swaps, reparations, and resentment not have been the same?
You could still have the Victorian arms race between the UK and Germany, so WWI could still happen, but imagine a French monarchy that maybe doesn't want to get involved. Imagine just a Russian front and a naval campaign for dominance in the North Sea. No trench warfare across the fields of France. That would like go over better for Germany.