The newspaper headlines about Kinsey's first book in the late 1940s are pasted onto current newspapers. Just above one of the headlines we see a story about the New York Mets and the Houston Astros. These teams did not exist in the late 1940s.
The chronology of the film suggests that the publication of a "new book" by Alfred Kinsey, The Origin of Higher Categories in Cynips, the appointment of Herman Wells as the president of Indiana University, and the showing of the "hygiene" film Know for Sure all occurred within a relatively short period of time. However, Kinsey published the book in question in 1935, Wells was not appointed as president until 1937 (interim) or 1938, and the film was not released until 1941.
About 25 minutes into film someone plays 'Frederic Chopin' Etude #1 in A flat. The notes do not match what is being played. Only part of the keyboard is seen but the right hand seems to be playing an octave lower than the notes.
During the credits, the producers thank the "University of Indiana" when it is actually "Indiana University" of which Alfred Kinsey was a part. The university notified director Bill Condon of the mistake. Condon gave his word that it would be taken care of when the film went on general release, but the mistake remains.
The scene where Kinsey's mother, Sara, is buried and family and friends are visiting Alfred Sr. (Seguine) at his home is incorrect: Kinsey's mother didn't die before Alfred Sr.; his parents were divorced in 1931 when Alfred Jr. (the titular Kinsey) was about 37 and before Alfred Jr. even started his research for his first "Sexual Behavior" book.