Well, every place on earth has seen some sort of conflict, military or not.

Greenland was (and still is) a colony of Denmark. In World War 2, Denmark was annexed by Nazi Germany, and Greenland came with it. It was only until the allies established minor bases on it that it was secured by the allies. Although it was never the location of a battle, it was the subject of a minor territorial conflict in the Second World War.

As for Antarctica and the Arctic circle, they are currently disputed zones, so technically they are seeing conflict right now even though there is no war going on. If you are looking for war zones, I guess you can leave these areas out, but it is important to note that much of it has seen military presence, especially between Canada and Russia in the Arctic.

Sorry, we don't allow throughout history questions.