The story of Alvin York was brought to the big screen in 1941 with Sergeant York, starring High Noon's Gary Cooper. 
Sergeant York was box-office success (it was the highest grossing film of 1941) and won two Oscars despite being largely inaccurate.
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You can watch the trailer below:
Note: There is no connection between the work of Michael Kelly and the filmmakers of Sergeant York.