During the wedding ceremony at the end of the movie, Rita is still holding her cards from their game of showdown. In the wide shots the cards are stacked together in her hand. But, in the closeup they are fanned out.
During the obstacle course scene, two of Bilko's men climb the rope net but can't get down. In a medium shot there's no one is on the net, although they're present in the close-up.
In the final hover tank test, the shadow cast by the tank sometimes changes within the same shot. Specifically, when you see it come out of the water you can watch it move from the left side of the tank to the right. It obviously has something to do with the low special effects budget.
When Bilko is playing craps in Vegas, several times he shakes the dice with both hands, holds them away from the table, and then throws them. This would never be permitted in a real casino.
In a number of scenes, MSG Bilko has a 69th Infantry Division patch on his right sleeve which denotes that he had served on a combat tour with the division. The 69th ID was inactivated 16 September 1945. MSG Bilko is not old enough to have fought during WW2.
Sgt. Bilko, Colonel Hall and Major Thorn each wear Sharpshooter marksmanship badges (the iron cross-like metal badges underneath their medal ribbons) This badge is only worn by enlisted men, not officers, so while it's OK for Bilko to wear it, Hall and Thorn shouldn't be.
Throughout the film, Ebersole is addressed as a Major, but the rank insignia on his hat is silver oak leaves, denoting he is a Lt. Colonel. The insignia for Major is golden oak leaves.
In the movie, Bilko holds the rank of "Master Sergeant" and though Master Sergeants are addressed as "sergeant", the rank is abbreviated "MSG" not "SGT" as in the title. "SGT" is the abbreviation for a buck sergeant, 3 grades lower than Master Sergeant.
The Fort Baxter radio station's call sign is allowed to start with a W, even though Kansas is west of the Mississippi, because the boundary line was once farther west and stations did not have to be renamed when it was moved. WIBW and WREN are real-life stations in Topeka, Kansas.
When the Humvee pulls up to the motor pool the driver goes to put the shifter into park, but it is already in the park position.
In the film, Fort Baxter is posited to be located somewhere in California. In Season 2, Episode 14 of The Phil Silvers Show, titled "Sgt. Bilko Presents Ed Sullivan", Ed Sullivan and the Army's Brass reveal that Fort Baxter is, in fact, located in Kansas.
When Henshaw is telling the troops to get rid of the horse, he gives orders without his mouth moving.
Towards the beginning of the movie, Holbrook claims that he's 19. Later on at the Rusty Spur, he's seen drinking a beer. They would never allow a 19 year old into a bar.