Which one of these Academy Awards did Gone With the Wind not win?

The film did not win the Best Actor Academy Award.

Gone with the Wind is a 1939 American epic historical romance film adapted from Margaret Mitchell's 1936 novel Gone with the Wind. It was produced by David O. Selznick of Selznick International Pictures and directed by Victor Fleming. Set in the American South against the backdrop of the American Civil War and Reconstruction era, the film tells the story of Scarlett O'Hara, the strong-willed daughter of a Georgia plantation owner, from her romantic pursuit of Ashley Wilkes, who is married to his cousin, Melanie Hamilton, to her marriage to Rhett Butler. The leading roles are portrayed by Vivien Leigh (Scarlett), Clark Gable (Rhett), Leslie Howard (Ashley), and Olivia de Havilland (Melanie).

At the 12th Academy Awards, Gone with the Wind set a record for Academy Award wins and nominations, winning in eight of the competitive categories it was nominated in, from a total of thirteen nominations. It won for Best Picture, Best Actress, Best Supporting Actress, Best Director, Best Screenplay, Best Cinematography, Best Interior Decoration, and Best Editing, and received two further honorary awards for its use of equipment and color (it also became the first color film to win Best Picture).