Remember that the French controlled Louisiana (a territory that does not match the boundaries of the State of Louisiana) until well after the American Revolution. We bought it during the presidency of Thomas Jefferson.

Each area has its own history of turning from non-English controlled areas to either English or American control.

It is also a little misleading to say that the US became a British Colony. The US was an amalgamation of pre-existing colonies that had already revolted from colonial control and gone through one failed attempt at a common government by the time the Constitution finally knitted them together.

By the time the US was created, each of those colonies had already become sovereign states (little s to denote the fact that they were essentially countries) which agreed to give up a portion of their sovereignty in order to become the United States.

Essentially, the other colonial powers on the Eastern Seaboard either gave up and went home (in the case of Sweden) or had their colonies taken by force in wars against England (French Canada and the Dutch in New Amsterdam). Eventually the British had occupied everything from Canada down to Georgia, which was created as a buffer with Spanish-owned Florida.