During the VJ dance sequence when Jimmy is initially trying to pick up Francine, the cherry in her drink disappears when she eats it in one shot, then reappears in her drink, only to disappear in subsequent shots.
Set in the 1940s, many characters have 1970s hairstyles, facial hair, and clothing.
During an outdoor daylight scene in the country, a parking garage is clearly visible in the distance, with at least one 1970s car.