In "Catch Me If You Can" (2002), the Secret Service agent leaves his fingerprints on the evidence of the wanted man (no gloves), yet the FBI agent Carl Hanratty doesn't notice it.
In Hideaway (1995), you can clearly see Alicia Silverstone laughing and smiling during the car crash scene
In Raiders of the Lost Ark (1981), Indy pushes a stone block, the shadow of which can be seen bouncing off the ground off camera.
In From Dusk till Dawn (1996), Tarantino is eating a burger when the camera is facing him and is drinking beer when the camera angle changes.