Anachronisms: The song "I Won't Dance" was not written until the early-'30s, at least six years after the time it was shown being used in the film.
Anachronisms: In the early scenes of the movie, before Franklin Roosevelt contracts polio, he is seen dancing with his private secretary to a recording by Alice Faye of the song "I'll See You In My Dreams". The song was not written until 1924, more than a year after FDR contracted the disease, and Alice Faye did not record it until 1939, by which time Roosevelt was in his second term as President of the United States. Faye recorded the song for the film "Rose of Washington Square", in which she sang it.
Revealing mistakes: When the attendants lift FDR into the pool, the reflection in the water shows two completely healthy legs, although through the use of CGI, Kenneth Branagh's real legs actually do look as if they had been affected by polio.
Anachronisms: The first scenes of the film recap the 1920 election as though it were a newsreel of the time, with FDR addressing a cheering crowd. But the first "talkie" wasn't until 1927, so the film should've been silent.
Continuity: The train seen in an external shot as the Roosevelts travel to Georgia for the first time is clearly not of the same type as the train they are in. The train seen externally is British.