After reviewing some arguments for and against flag burning I became curious as to whether or not there were documented cases of the U.S. Founding Fathers (or politically influential people of the time) burning flags of other nations in protest or dissent e.g. the British flag.
There are isolated instances of flag desecration in America's colonial and revolutionary past, but the perpetrators were not especially influential. From Robert Goldstein's "The Great 1989-1990 Flag Flap: An Historical, Political, and Legal Analysis", published in the University of Miami's Law Review, p. 37:
This occurred shortly after the British left New York. There are isolated instances of Confederates burning and burying the flag during the Civil War, and one man in Union-occupied New Orleans was executed after conviction of treason for stealing and then dragging an American flag through the mud.
The author suggests that flag desecration may have been relatively rare because veneration of the flag was much milder than it would be in the 20th century. For example, there's a photograph of Lincoln and McClellan eating at a table covered with a flag. Almost all flag-related laws were passed in the 20th century. The Star Spangled Banner was declared the national anthem by Congress in 1931; Stars and Stripes Forever was only declared the national march in 1987; Flag Day was established in 1949; Flag Week in 1966; and the government endorsed the Pledge of Allegiance and codified flag etiquette for the first time in 1942. State laws prohibiting flag desecration date back to 1897, but the federal government passed its first flag desecration law in 1968 (36-37).
Interestingly, Mittlebeeler* suggests that the first anti-desecration laws were due to "popular outcries against the use of the flag for advertising" (888) and its common use as clothing for black face minstrels, prize fighters, and circus clowns. Profanation and cheapening were the original threats to the flag, not physical destruction.