The people who would appreciate the charming British wartime romance "Their Finest" the most, oddly enough, are the characters in the movie — because it's their job to make stiff-upper-lip war movies like this one.
It's 1940 in London, at the height of the Blitz, and the U.K.'s Ministry of Information is in dire need of good writers to punch up its much-derided propaganda films. Tom Buckley (Sam Claflin), a screenwriter loaned out to the ministry, thinks he's found a likely candidate in Catrin Cole (Gemma Arterton), who writes the occasional comic strip for a London newspaper.
Catrin jumps at the chance, because she could use the money. Her husband, Ellis (Jack Huston), is a struggling artist rejected for conscription. So she accepts the assignment and the marching orders of Roger Swain (Richard E. Grant), the ministry's point man with the film industry, to find a story with "authenticity and optimism."