Whenever a Zero was shot down by a Corsair, it would bellow white smoke and begin to trail away. In reality, because the Zero did not have self sealing fuel tanks, in would in almost every circumstance burst into flames or explode when shot down.
In several of the dogfight scenes, when there is a brief in-cockpit view of the pilot's hands dramatically pushing or pulling at the control stick, none of the (clearly visible) instruments ever move to indicate a climb, dive, or turn.
At the beginning of the episodes a newsreel would be shown usually as a way to introduce the subject of that episode's story. The copyright date on the newsreel was MCMXXXIX (1939), which would have been at least two years before the U.S. entered the war.