Factual error: In the very beginning as the landing craft approaches, and they then begin to disembark, no-one has their helmet chip strap secured. Then attacking the beach, and much throughout the movie, no chip straps. There is no way in real battle you would not secure your lid.
Factual error: During the final fight at Ramelle, Mellish and Henderson are displacing from their first machine position to the next; almost getting shot by a Tiger tank gun. When they run, Henderson grabs the barrel of the 1919A4 Browning Machine Gun. He had just fired a long burst, the barrel would be too hot to grab it.
Other mistake: When Melish is stabbed by the German soldier, Melish's body isn't consistent with the floor. It's almost as if he his lying underneath the floor.
Revealing mistake: The shot of the eight members of the group is reused later in the film when there should only be seven.
Suggested correction: This is much too vague. Where is the repeated shot used?
Continuity mistake: Sunlight changes from shot to shot during the machine gun nest scene. One second it's like cloudy, in the next you see the sunshine and long shadows.
Factual error: Near the end of the movie when an American fighter saves the day, it's a P-51 Mustang. In June, 1944 the most likely ground support fighter would have been the P-47 Thunderbolt. Also, American planes were still painted olive drab at that point. The Mustang in the movie did have black and white invasion stripes, but it's the wrong plane and the wrong color.
Suggested correction: The P-51 was one of the most commonly used fighter planes in the USAF by mid-1944. These planes had been flying in Europe since 1942, starting with the RAF, its original user. There are colored pictures of Mustangs with the paint job depicted in the movie from mid-1944 as well.
Continuity mistake: During the final battle, they stop the tank in its tracks and several approach it. Captain Miller runs up with them. He is about to start shooting into the view finder but doesn't. The scene cuts and the tank shoots at the area where Ryan and Reiben are. Cut back to the tank and Captain Miller is still standing next to the tank, and he shoots in the view window, repeating the action from the previous shot.
Other mistake: Private Mellish and another fellow Airborne soldier are manning the .30 cal belt fed machine-gun, and they're quickly running out of ammunition. Private Upham is the ammo bearer, he's supposed to be "Johnny on the spot" with the ammo. After Mellish displaces and sets up a new field of fire he tells Upham to get more .30 cal and to tell the Captain the flank's going to collapse. As Upham is dodging German gunfire he runs by a wall covered with fresh red blood spray. Nobody from that crew was shot yet. (02:15:29 - 02:17:00)
Factual error: Captain Miller screams the tank is "still in this fight" and he gets on top of the SdKfz 181 PzKpfw VI Tiger I Tank, and fires his Thompson .45 ACP sub-gun into the view port of the Tiger. Those tanks' viewports were defended by 50-80mm of bulletproof glass and an armoured steel shutter for the driver and commanders cupola. That whole action would have achieved nothing. (02:17:00 - 02:18:00)
Factual error: The M1 Garands throughout the film all have post-War era rear sights. The type used during WW2 were called "Lock Bar," distinguished by a "bar" that ran across the right sight knob. M1 Garands manufactured or refurbished after WW2 will lack these types of sights.
Continuity mistake: At the end when Ryan brings the wounded sergeant to the other side of the bridge, Reiben starts to make his turn to provide covering fire for the Captain. He repeats the exact same movement two shots later.
Audio problem: When Ryan and Miller make their way to the bridge, they reload and fire their weapons behind sandbags. Miller begins to fire his Thompson but it jams and we see him try to rack the charging handle to fix it. He then tries to fire again but the gun fails to do so; all while we hear the sound of the Thompson firing. The editors added the sound of it firing despite the fact that it jams in the final cut.
Continuity mistake: Right before Capazzo dies he holds up the letter, but it's in a zip-lock bag. After the sniper is killed the medic retrieves the soaking wet, unbagged letter.
Suggested correction: The letter is never in any bag, plastic or otherwise. It's always bare or else he wouldn't be worried if there is blood on it. Zip-lock bags weren't invented until the 1950's anyway.