After Rains is pushed from the platoon and is confronted by RMP Company Sergeant Major the collar of his shirt is lifted a bit on the back. In the next scene the collar is tidy.
During the shoot out at the farm, when the Germans first approach, Rains is first seen pressing up against the wall, but in the next shot he's lying on the floor in the center of the room.
When identity discs (dog tags) are taken off the bodies of deceased soldiers, both discs are taken. In fact, only the red disc was supposed to be taken, with the green disc staying on the body to identify it.
Even if the Commandos reached Sweden, they would have been interned and not returned to England. Sweden was neutral during WW2.
During all the various gun fights/shoot outs, no expended brass is ever ejected.
Immediately after the mission briefing Ian Fleming is addressed as Lieutenant Commander supported in an earlier scene showing his sleeve chevrons , two and a half 'wavy' stripes, denoting a Lt Cdr RNVR.
An intermediate scene, when Fleming arrives at the training camp, shows gold braiding on his peak cap indicating the rank of a full commander.
The character of Ian Fleming is shown wearing the ribbons of the 1914-18 War Medal and the Victory Medal, awarded for service between 1914 and 1918. In actuality, Ian Fleming was born in 1908 and never served in the First World War (he was ten years old when the war ended).
In the final scenes, Bean's Thompson sub machine-gun was firing with the bolt not only not cocked but not moving with each shot.
The Avro Lancaster, the four engine bomber used the parachute scene, is the incorrect type since the aircraft did not exist in the 1940-1 time frame if this movie. The proper type would have been either the Armstrong Whitworth Whitley or the Vickers Wellington, both twin engine bombers.
Map on the Kent briefing room wall shows Finland's border with Russia as it is after 1944 (Petsamo and Karelia missing). In 1940, Finland had lost just Karelia but not Petsamo.
The Military Police of the British Army didn't receive the Royal Warrant until after the war (1946). Until then they were named the Corps of Military Police (CMP), not the Royal Military Police (RMP).
During the France shootout, a man, possibly an extra or crew member is wandering in the back.