When Wasey and Miss Tatlock catch up with Faraday in the ship's cabin, the amount of shaving foam on Faraday's face changes between shots.
When Madonna is lying in the pigsty, mud on her cheek keeps appearing and disappearing from one shot to the next.
When the street gamblers get angry, they start chasing Penn and Madonna immediately almost within grabbing distance. In the next scene, Madonna and Penn have managed to extent their lead to 50 yards, and even have time to spare to climb into a rickshaw.
When Gloria meets Glendon at the harbor, most ships at the background have Chinese flags that didn't exist in 1937.
When Wasey and Gloria slide down the stairs in crates, three rollers launch the last crate.
During the bathhouse scene, Justin tells Glendon that the Chinese use tomato juice to remove the stench of skunks. Skunks only live in North America, not China.