1937 - The first movie about annapolis

Navy Blue and Gold - Synopsis - Reference Wikipedia  

After each is accepted for admission to Navy, three midshipmen, Dick Gates, Roger Ash and "Truck" Cross, become roommates. Dick is the scion of a wealthy family, Roger a former star football player for another university, and Truck a sailor appointed from the fleet. With a common love of football, all three go out for the plebe squad. Dick is tricked into committing a rules violation by a disreputable upperclassman with a penchant for hazing and is severely paddled. Even though hazing is forbidden by regulations, Roger decides to get even on his own terms. Despite his egotism, his classmates as well as the upperclassmen respect him when he challenges the abuser to a boxing match and wins it.

As upperclassmen, the roommates become varsity players. Dick is undersized but makes the team as a kicker, while Truck becomes a star center. Roger has come to Navy only for the publicity value of playing for the school and makes no effort during a game against a lesser opponent. When varsity coach Tommy Milton benches him for being a "slacker," he goes AWOL. Truck and Dick also go AWOL and find him drunk in a bar. Caught by Milton trying to get Roger back to barracks, the academy's former football coach, Captain "Skinny" Dawes, covers for them with an adroit adherence to the academy's honor system.

Truck faces dismissal from the academy for not using his true name upon enrollment, revealed when he defends the sullied reputation of his father, a disgraced navy ship's captain, during a class discussion. Previously dismissive of academy traditions, Roger "prays" at the statue of Tecumseh for Truck's exoneration, overheard by Captain Dawes. Truck is dismissed but reinstated when the superintendent grants him clemency based on Truck's dedication to the navy and his father, who has been restored to duty with his record cleared. Truck arrives at the stadium in time to help his roommates win the Army-Navy game.  At the traditional ceremony celebrating Navy's victory, Roger demonstrates his new-found devotion to the academy by giving up his place of honor to Captain Dawes.

There were no black midshipman at Annapolis in 1937.