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.
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.
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.
Factual error: Bubba specifically says he was drafted into the Army, but his gravestone says he was born on March 2, 1943. The first draft for service to the Vietnam conflict was limited to men born between 1944 and 1950. Subsequent drafts were for men born in 1951 - 1953. Bubba was born a year too early to have been included in the first draft.