Initially, there was the surrender of Gen. Cornwallis in Yorktown. Later, the British were limited in their ability to damage the U.S. in the War of 1812. Finally, the Monroe Doctrine was successfully enforced (in which the U.S. maintained its influence in the Western Hemisphere).
I hope this answers your question.
The event that is commemorated by the Independence Day federal holiday? That would be the day that the American colonies declared their independence from England on July 4, 1776.
The American and French Revolutions inspired Simon Bolivar to work for South American independence.
American Revolutionary War
The Treaty of Paris. Although a document actually sealed the independence several prior events did so in a more graphic manner. Perhaps the most notable was the willingness of the 'colonists' to stand up and fight for what they believed was correct and right.
Abraham Lincoln's balls dropped
the decorloration of independence
For Americans, the biggest and most significant event of 1776 was the Declaration of Independence. The American colonies wanted independence from Great Britain. The signers of the Declaration were taking the risk of being hanged for treason.
The War for Texas Independence. The Annexation of Texas by the United States.
It was called "the treaty of Paris"
Independence of death
Rumors of Indian attacks …
I would say because that's where the Declaration of Independence was signed, which was a very important event in American History. Hope that helps :)