The Indian independence movement led by Mahatma Gandhi is a famous example. Of course, there was some bloodshed during the process, and in the subsequent partition of India into India and Pakistan there was quite a lot of bloodshed, but Gandhi's movement was non-violent. It was so powerful that it greatly influenced the American Civil Rights Movement.

Other than that there is the fall of the Communist governments of Russia and Eastern Europe. Those revolutions were mostly bloodless (apart from the breakup of Yugoslavia). Everyone was afraid that nationalist movements would plunge the Soviet Union into civil war, but the leaders of Russia managed to negotiate a largely peaceful dissolution. In Romania, there were only 1,104 deaths in the 1989 revolution.

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