I can answer in some detail where the Dutch colonies are concerned.

 

The Dutch had 3 major overseas holdings: the Antilles, Suriname and Indonesia.

 

The Dutch colonies in the West Indies became vulnerable after the Germans occupied the Netherlands in May 1940. The Antilles produced oil and Suriname was a major supplier of bauxite (which was made into the strategically vital aluminium). Especially the United States feared that these vital holdings, in their own backyard no less, would fall prey to the Germans. The Americans cooperated with the British and occupied these territories before the Germans could get to them. This is one good example of how involved the Americans were in World War II before Pearl Harbor. The Dutch government was not too pleased with the US-UK action but pretended to be okay with it. These territories remained peaceful and their resources made a significant contribution to the allied war effort. They were returned to Dutch control after the War ended in 1945.

 

Indonesia was an entirely different scenario. The Governor in Jakarta remained in power after May 1940 and still ruled on the orders of the banished Dutch government in London. This would not hold for long however, as in early 1942 the Japanese began their invasion of the Dutch territory. Indonesia was also very rich in natural resources, notably rubber and for that reasons was too great a price for the resources-starved Japanese to let go. Not long after the invasion started did the Japanese occupy the Dutch East Indies. The more nationalist elements in Indonesia were quite happy with this and they were actively encouraged by the Japanese to consolidate their own identity and turn away from their European colonisers. This fit in the broader Japanese strategy to mobilise Asia under Japanese leadership and stop the influence of Western powers there. There was clear collaboration between the Indonesian Nationalists and the Japanese occupation forces. The Japanese occupation was brutal though, partly to the dismay of the Indonesian nationalists.

 

The Dutch loss of control over Indonesia proved crucial. Nationalism had taken a hold on Java, the biggest and most populous island of the archipelago. Despite largely successful campaigns by the Dutch military to regain control over Indonesia, broader geopolitical considerations forced the United States to force the Dutch into giving up their colony (this whole process is worthy of a post in itself). Therefore it could be said that in the long term the Japanese occupation did lead to revolution in Indonesia, as the fires of revolt proved impossible to tame without repercussions after it had been boosted by Japanese intervention.