man of action vs doer

man of action and doer both are nouns.

Word	Noun	Adjective	Verb	Adverb
man of action	Yes	No	No	No
doer	Yes	No	No	No

As nouns, doer is a hypernym of man of action; that is, doer is a word with a broader meaning than man of action:

Other hypernyms of man of action include actor, worker.

man of action (noun)	doer (noun)
someone inclined to act first and think later	a person who acts and gets things done