AHC - Different colonies in the New World

Essentially, I'm looking for a timeline with a POD in the 15th century or later, where the europeans colonize different parts of the New World, focusing in how these societies develop until their eventual (or not) independence and not paying more attention than necessary to the Old World.

Bonus points if you can get colonies that didn't succeed otl to succeed, like the french colonies in Brazil.
 
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