Some of the mentioned guns were not easily available in the 1940’s. The Browning Hi-Power being an example. Also there is a question of ammunition - 9mm was somewhat available in the European Theater, but not in the Pacific.
I would first chose a commercial Colt Government Model. Parts, magazines, accessories and ammunition would not pose a problem, and it couldn’t be beat for a reliable, close-range manstopper - especially when using ball ammunition.
Second choice would be a S&W (first) or Colt (second) .38 revolver. Again ammunition would be easier too come by. Keep in mind one might get into trouble if that pistol wasn’t loaded with FMJ ball cartridges.
Also the rank or grade of the individual could greatly effect the number of available options. As in most wars, "choice" was often determined by what could be taken away from the enemy.