The following are various goals of the French, Dutch, Spanish, and British colonization of the Americas. First, the French.
The French were primarily concerned with expanding their fur trade and developing these large agricultural plantations in Louisiana, worked by African slave labor.
The following transcript is provided for your convenience.
The Dutch were also focused on the fur trade to include the slave trade. Then, you have the Spanish. They were primarily concerned with three things: God, gold, and glory.
God, the conversion and the spread of Catholicism in North, South, and Central America. Gold, looking for new vast stores of wealth in the Americas. And also, glory. The establishment of large ranches and large conquest in the Americas.
And lastly, you have the British. They were also concerned with earning additional income, and also fleeing religious persecution in Britain.