Answer:
New Portugal
New France
Explanation:
When it is spoken about the New World and the conquests and colonies, it is mostly the British and the Spanish that are in the spotlight. This doesn't come as weird as these two were the ones that had by far the most territory in the New World, and they were the dominant forces in it.
There were other colonial powers that had their fair share though apart from these two. Some of them were France and Portugal, which established New France and New Portugal.
France was mostly active on the western part of Canada, the Caribbean, and initially in the central part of the United States. The Portuguese concentrated their power in South America, occupying big chunk of it, and forming what was later to become Brazil.
