Doing it backwards.
As they never actually played, yet instead inspired the role (in essence
born to play it):
Bill Finger - "Batman was a combination of Douglas Fairbanks [who played Zorro] and Sherlock Holmes."
Bill Finger- "My idea was to have Batman be a combination of Douglas Fairbanks [Zorro], Sherlock Holmes, The Shadow, and Doc Savage as well."
Bob Kane -"Zorro’s use of a mask to conceal his identity as Don Diego gave me the idea of giving Batman a secret identity…Bruce Wayne would be a man of means who put on a façade of being effete. Zorro rode a black horse ... and would enter a cave and exit from a grandfather clock in the living room. The bat-cave was inspired by this cave in Zorro. I didn't want Batman to be a Superhero with superpowers…So I made Batman an ordinary human being; he is just an athlete who has the physical prowess of Douglas Fairbanks, Sr., who was my all-time favorite hero in the movies.”
Alter Ego (Roy Thomas) - "Bill [Finger] maintained (well into the 1960’s) a file of Douglas Fairbanks Sr. photo stills. He showed me the file and said that he would attach selected photos to finished scripts for Bob [Kane] and his assistants to use as models. I recognized pose after pose. The stills I saw (and had never seen before that date) were the familiar swinging poses that characterized the Acro-Batman…"
So in that spirit
Douglas Fairbanks was in essence born to play Bruce Wayne Batman:
Further
Fairbanks essentially invented the action-hero movie genre that impacted that first gen. of comic creators, and helped define one the most significant characters in comics history.
And of course The Man Who Laughs-
Conrad Veidt was in essence born to play the Joker.