American Revolutionary War vs War of American Independence

American Revolutionary War and War of American Independence both are nouns.

Word	Noun	Adjective	Verb	Adverb
American Revolutionary War	Yes	No	No	No
War of American Independence	Yes	No	No	No

As nouns, American Revolutionary War and War of American Independence are synonyms defined as:

American Revolutionary War and War of American Independence: the revolution of the American Colonies against Great Britain; 1775-1783

Other synonyms of American Revolutionary War include American Revolution, American War of Independence.

American Revolutionary War (noun)	War of American Independence (noun)
the revolution of the American Colonies against Great Britain; 1775-1783	the revolution of the American Colonies against Great Britain; 1775-1783