1789: Crowds storm the Bastille, triggering the French Revolution.
1830: The July Revolution overthrows Bourbon Charles X and leads to the adoption of a constitutional monarchy.
1832: Unsuccessful revolt against the monarchy.
1848: Revolution and establishment of the Second Republic.
1871: Leftists, workers, and rebellious soldiers establish the Paris Commune.
1934: Members of the right-wing Action Française set off anti-government riots and nearly topple the Third Republic.
1944: Popular uprising against German occupation.
1958: French settlers revolt in Algiers and cause the collapse of the Fourth Republic and the return of DeGaulle.
1961: The “Generals’ Putsch”—Army units join with French settlers in Algeria in an unsuccessful revolt against DeGaulle’s policy of independence for Algeria.
1968: Students and workers take to the streets to protest DeGaulle’s government.
These events also figure large in French culture. For example, the revolt of 1832 provides the setting for the climax of Victor Hugo's Les Misérables. In addition, below is perhaps the most inconic image in French political history and a paean to popular uprisings: Delacroix's "Liberty Leading the People."
And then there's the chorus of the French National Anthem, "Le Marseillaise":
To arms, citizens!
Form your battalions!
Let the impure blood (of our enemies)
Soak the furrows (of our fields)
If ever there were an anthem to get people out into the streets, this is it.