The 1937 film that portrayed a fictionalized version of Thomas Dewey's prosecution of Lucky Luciano is "The Life of Jimmy Dolan." This film features a storyline that draws inspiration from the real-life events surrounding Dewey's efforts to bring organized crime figures to justice, particularly focusing on Luciano, who was a prominent mobster at the time. If you need more details about the film or its historical context, feel free to ask!