Corrected entry: Even given the disastrously inaccurate airdrops, the 101st Airborne landed 15 to 20 miles closer to Utah beach than to Omaha beach, where Miller and men came ashore. By the end of June 6, most of the 101st was scattered in pockets near Vierville, easily twenty miles west of Omaha but within a mile or two of the lead elements from Utah. So why would commanders in Washington or England order Omaha units, which had been badly mauled on D-Day, to slog so far out of their way to find Ryan? Units from Omaha would have had to cross four enemy-held rivers and pass through almost all of the German 84th Corps to come close to any significant group of U.S. paratroopers.
Corrected entry: When Capt. Miller meets up with the first (and wrong) Private Ryan, his squad has just passed through a torrential downpour, soaking all of their uniforms. The rain has stopped when he sits to interview the mistaken private Ryan and the ground is still wet, but Miller's uniform is suddenly bone dry.
Corrected entry: In the D-Day scene where the Germans are firing at the troops on the beach a machine gun (MG-42) is fired for about ten seconds non-stop. The MG-42 can only fire for about 5 seconds without pausing otherwise the barrel will overheat causing the bullets to go everywhere. I fired an MG-42 before and overheated the barrel and that made the gun useless until I changed the barrel.
Corrected entry: The scene where Capt. Miller asks Capt. Ted Danson, "do you have anything resembeling a Four Star Hotel in this town?" isn't right. The "Four Star" hotel designation is derived from the Mobil Travel Guide Service which began in 1958 and of course would not have been part of the American nomenclature of 1944.
Corrected entry: As the boys on MythBusters recently demonstrated, bullets that enter the water even from very short ranges shatter and travel no more than about 1 metre before they run out of energy. So the opening scenes of the Omaha landing showing troops being shot while well under the water could not have happened.