Scotland Yard (1930)

A criminal fleeing a bank robbery has a chance encounter with a banker and his wife and takes a locket with both their pictures in it as a remembrance of the wife's stunning beauty. After enlisting for WWI to escape prosecution, his face is disfigured in combat, and plastic surgeons mistakenly give him the banker's face. As the banker is conveniently MIA, it gives the criminal the opportunity to plan a bank heist from the inside and also to get closer to the banker's wife.