The Spanish: Colonized South America, Mexico, and the Southwestern part of the US. They also searched for gold and other riches.
The French: Set up hunting settlements in the Northern US and Canada. hunted animal's for fur to bring back to France.
The British in NE: Set up New England colonies like New York. Interacted with the Natives.
The British in the Middle: Same as the North.
The British in the South: Set up cotton plantations with slaves.