Revealing mistake: When "Charlie" is first introduced to the class, she struts down the aisle in heels. When she follows Maverick into the building, you can briefly see that she is wearing flats to compensate for Maverick's short stature.
Continuity mistake: At the end, a victorious Maverick is hoisted on the shoulders of the guys. As he goes up, he isn't wearing sunglasses. His head goes out of the shot, and when he comes down, he's wearing a pair.
Goose: The Defense Department regrets to inform you that your sons are dead because they were stupid.