Are there any mob movies made in the 40's based on the Nintendo video game, Dejavu?

I figure there has to be a mob movie out there already based on this game’s plot.

This game takes place in Chicago in the early 40s. The main player is an ex boxer who currently works as a private eye. Long story short, he wakes up in the beginning of the game with no memory of his identity and is being framed for murder. He has gain enough evidence of his innocence and evidence to convict the true culprits.

Any movies with this plot?