How about this one? The Departed holds the record for the most times a Best Picture features the "F" word. Just for the record, it's 237 times. (Source.)

Turns out that Martin Scorsese didn't realize that The Departed was a remake of a Hong Kong movie until he had agreed to direct it. (Source.)

Of course, you would expect a diehard Boston guy like Frank Costello to be a Red Sox fan. But actor Jack Nicholson despises the Sox so much that he refused to wear their hat in this movie. Instead, he went for a Yankees cap. (Source.)