Perhaps a continental parliament would be palatable. A second monarchy would be out of the question. A democratic republic would be unfathomable. Westward expansion would likely be slower. Napoleon would never happen. Russia becomes a more significant player in the American Pacific.
Since the American revolution would never happen, France will have to get revenge for losing Canada by other means. Yet, France will have to have some compensation. France will either have to take other British colonies (India? Somewhere in the Pacific?), or pick on an either opponent (Spain) like Great Britain and France did in the early 19th century otl.
China would likely fare better. Japan would be isolated for a longer period of time. As for Europe, they would either have more petty kingdoms, or France would find another way (apart from Napoleon) to crush their weaker continental neighbors. After losing Canada, France need not express their power through colonial means.
Prussia would likely need attain the significance they did in the otl. Vienna may become more significant. Perhaps antiseptic procedures are discovered prior to Ignaz Semmelweis. Other potential winners are the Polish-Lithuanian commonwealth and the Ottoman Turks. Yet, Great Britain will likely still remain the most powerful, and France will still be second place.
Colonies are dependent on cash crops. America's cities are much smaller. The scramble for Africa never happens. Although, France does colonize Algeria. The keeps South Africa and the east Indies, unless France takes an interest in them. Although, if France gains European territory, then colonies become less significant. I give it a 50/50 chance either way.
Spain gets the Philippines. Although, the Dutch could potentially take it from them earlier than in the otl. Again, France is the most significant variable. Even though Great Britain is the most powerful, they're more concerned with gradual westward expansion, and trade with heavily populated countries i.e India and later China.
At some point, Great Britain will colonize the American pacific. Russia and Spain will be dislodged from the coast. Initially, Great Britain will focus than otl United States. Great Britain will likely capture areas from Oregon to Vancouver before California. Spanish American revolutions will occur much later. Russia retains Alaska and parts of Canada.