When Brand Hauser exits the building-ruins after rescuing Natalie Hegalhuzen you can clearly see him putting away one of the two pistols, namingly his right one, and waving with his left arm. The very next shot shows him putting away both pistols, his right, then his left.
When Bhodi Bhundhang's gang of thugs attack in the castle during the interview, one of the thugs holding an AK-47 loses his hat when attacked, but in the next scene his hat is back on his head, right before he is thrown in a table.
In the flashback, when Ben Kingsley's character aims his two guns at John Cusack's character in the garbage truck, he is holding his two guns with the two point fingers at the trigger. But when the camera switches, the left arm's finger isn't on the trigger anymore.
While the former Vice President addresses the wedding on the screen Natalie is there watching with her hair straight back but two scenes later she is still in the dressing room with her hair in a ponytail.
The goof item below may give away important plot points.
In the two different flashbacks to the discovery of Hauser's dead wife, her feet are in noticeably different positions. In the opening flashback, both legs are lying straight; in the later flashback, her left leg is bent.
When Hauser reveals to Yonica that he is her father, she grabs a machine gun and simultaneously pulls off her wedding veil. However, as Hauser, Yonica, and Natalie flee the wedding, she is seen with her veil on again.