The French Revolution changed everything for Western civilization. The ideas and principles from the Enlightenment period were spread across Europe and the Congress of Vienna could not overturn the changes it brought forward whether it was in regards to restoring the aristocracy to the ascendency it had prior to the Napoleonic Wars or the borders of several countries in the name of the balance of power and recognizing that several of the hundreds of entities in the former HRE were obsolete as shit. Certainly the American Revolution played a role in the French Revolution, but the Napoleonic Empire is the vehicle that led to changing Early Modern Europe to reflect what Europe would become today. I believe several historians use years between 1789 and 1815 to describe the end of the Early Modern Period to the Modern Era because of how sigificant these changes were.
Several of these other empires played a role in shaping the world like the Ottoman Empire's existence helped pave the way for exploration for Western Europeans. They wanted to bypass the Ottomans rather than having to trade with what virtually all of Europe viewed as the enemy and a scourge that had to be stopped. Plus, dude, they exported coffee to Europe and how could we live today in our modern society live without coffee? Who cares about Tea and the redcoats who drink it anyway, right? They were the first to make huge use of gunpowder in the west with their bombards that helped them take Constantinople. Before the defeats in Lepanto and the 2nd siege of Belgrade they were viewed as invincible and horrifying to the European powers. Also, the Ottoman slap is pretty funny.
I think the British did an excellent job in being the role model in more or less efficient imperialism, maintaining much territory doing whatever it took to profit and rule over an impressive portion of the globe, far surpassing other Early Modern colonial powers who while relevant in the Early Modern Period had faded by the end of the Early Modern period. Spain for example had an impressive American holding in the Spanish Main and Carribbean. The Portuguese and Dutch were important in being the forerunners of trade between South, Southeast, East Asia, and Europe. Although by the end of the Early Modern period the Spanish, Portuguese, and the Dutch started to fade into the background.
Austria had an important role in European politics, especially as an important counterbalance against France and the Ottoman Empire for this period. They were also instrumental in coordinating Reactionary forces to the Nationalism of the 19th century following the Napoleonic Wars and were probably the dominant European after France's defeat in 1815 until Prussia defeated them, excluded them from German politics, and formed the German Empire.
Qing dynasty, it was all downhill since the First Opium Wars. Also, lol Yuan Shikai.
I'd say France, Britain, Ottomans/Spanish in that order.
. Furthermore due to Napolionic wars the ideas from French revolution spread across Europe (mind that in that day and age Europe = the World). American revolution remain at the same time quite isolated. 
ortuguese empire