After Bat Masterson leaves the newspaper office with the armful of printed papers, he meets Doc Black who knocks the papers out of his hands during their confrontation. When they show the long shot of the pile of papers in the street, it is obviously far fewer than Bat was originally carrying.
They have Wyatt Earp meeting Bat Masterson in Wichita for the first time, and Bartholemew calls himself Bat when introducing himself. Bat started using his shortened name later in life and they met their first time in Dodge City Kansas not Wichita per Bat's own memoirs.
When the cowboys leave the saloon to shoot up the town, Gyp Clements (Lloyd Bridges) tries twice to fire his gun in the air. Both times it either misfires or is empty. You can hear the clicks in the audio. One would assume a cowboy would not "hurrah" a town with an empty six-shooter.
When the cowboys are shooting up the town, a street light in the foreground is shot out. It's not a gas lamp, but contains an incandescent light bulb, despite it not being invented yet.
In the shot of the train pulling into town, there are clearly modern telephone and power poles, with transformers, near the tracks. Maybe the filmmakers thought they could pass as telegraph poles.
When Waytt first enters Wichita he is walking down main street, and mountains can be seen in the distance.
When a saloon girl is wounded in the riot, the hotel clerk tells Wyatt there are no doctors in Wichita. But one of the star characters in the film is town elder Doc Black.