Continuity mistake: When Sheriff Corby arrests Kimble outside the boarding house, the front door is open and the porch light is on. In the next shot, as they get in the car and drive away, the house door has closed itself and the porch light is off.
Continuity mistake: Corby hides Kimble in the trunk of his car. When it's partially opened, we see Kimble in a horizontal bar of sunlight. After Corby slams the trunk shut, we see another shot of Kimble, who should now be in the dark, still illuminated by the bar of sunlight.