Factual error: In the scene where Forrest gets his discharge papers, he is practicing table tennis in a gym. The gym floor has a three-point line on the basketball court. It is a college or high school three point line- 19 feet, 9 inches. There was no three pointer in basketball at that time, especially at that distance. (01:21:40)
Factual error: In the scene where Forrest's platoon is crouched down along the side of the road, and the narration is introducing some of the soldiers, you can see a pack of Marlboro cigarettes in one of the men's helmets. On the side of the pack is, "Marlboro Miles." These weren't available until the 1990's. (00:44:00)
Factual error: In the scene where Forrest Gump is wheeling Lt. Dan across a street between a bunch of taxis, the car they go behind is a 1973 Chevrolet Caprice (see the tail lights). However, several scenes later we know the year is 1971 because it is New Year's Eve 1971 because we see the TV flash 1972 as the year changes. (01:13:30)
Factual error: We've already seen George Wallace on the school steps in one of the scenes where Forest is inserted into the footage, and this happened in June of 1963. Then it shows an All-American team meeting with JFK but that was created in December. But there was no way JFK would have been there as he was assassinated the previous month.
Factual error: When Forrest is reading the letter from Apple Computer, Inc., the date at the top of the letter says September 23, 1975. However, Apple wasn't founded until April 1, 1976 and wasn't incorporated until January 1977. No way to get a letter from a company that doesn't even exist yet.