During one scene as Torello sits unmoving at his desk talking to the MCU officers, the medallion on a chain around his neck change position several times.
During the department store shootout scenes as the suspect gets on the up escalator it is full of people and then in a blink of an eye it is empty.
While 1963 gas prices at gas stations are correctly shown on station billboards as being 25 cents, the boards all read 025. In 1963, no one believed gas prices would ever hit a dollar. Most gas pumps could not even sell gas for over 99 cents, so gas prices would never be displayed with a "0" before the 25.
When negotiating the sale of the loot in Phil Bartoli's living room the color TV is showing a horse race in color, In 1963 this would have been a B&W broadcast.