They picked the wrong LOTR movie to put in there. Return of the King is by far the better movie of the 3.
Never seen The Godfather, have no desire to either. Not a mafia fan.
You will love The Godfather. Who likes the mafia? No one. There is no doubt the movie romanticizes the Mafia, but really it is more about the family and a slice of life. If anything watch the first 20/30 minutes....mesmerizing.