Fu Manchu states he is reminded of the musical San Francisco (1936) and its stars. That film was not released until 1936. However, as stated in the opening credits the date of this film is "possibly around 1933", so such anachronism can be written off.
Although Fu Manchu is Chinese, he states he will fine his henchmen in yen, the currency of Japan, rather than in yuan, the Chinese currency - after their failure at the theater.