I read the Wikipedia article and I was surprised how often there were rebellions and how much it upset the state, I know Europe had its fair share of revolutions and unrest during this period and its obviously comparing apples to oranges to some extent, but did the Qing have more or less common and severe unrest?
The Qing Dynasty was declared in 1644 on the capture of Beijing, although it might be more accurate to date it from 1645 (the capture of Yangzhou and thus Jiangnan) and south China wasn't really conquered until 1663 or so and resistance really ended around 1683. Which is a way of saying that it depends on what period you are talking about. During the 18th century China was fairly stable during a time period when Europe was ripping itself apart from frequent wars. On the other hand, while the European nationalist unification wars of the long nineteenth century were rather bloodier than they are often portrayed, there was nothing on the order of the Taiping Rebellion.
Incidentally, some may object to my comparing China to Europe as a whole, I think comparing it to just one European country is equally misleading given that China exists at a scale that vastly surpasses Europe.
Short answer:
17th century - Pretty bad. Manchu forces entered China initially by taking advantage of a serious rebellion (Li Zicheng) already underway. Resistance from various Ming pretenders / loyalists lasted for decades in the south and on Taiwan. Kangxi then had to put down a major rebellion from three former vassals in the south.
18th century - Offensive wars (mostly victorious ones) were fought on the periphery, but for the most part peace is maintained in 'china proper.' A short lived rebellion (white lotus) occurred towards the end of the century.
19th century - Shit hits the fan. Taiping forces take over multiple provinces in the lower yangtze and are then suppressed. Tens of millions die. Muslims revolt in Xinjiang and are then suppressed. Millions die. Various peasant millenarian and ethnic minority rebellions break out in the southwest and are suppressed. Millions die. Anti western boxers rebel with the support of imperial troops and are put down by foreign forces. Hundreds of thousands die.
20th century - Revolutionary violence occurs in spurts culminating in a major rebellion forcing Puyi to abdicate in 1912.
So basically the 19th century was extraordinarily violent in China, and the 17th century was violent in both China and Europe.
This is all very basic info, see the Spence book.