Continuity mistake: At the beginning, just after the title credit the President's car is machine gunned and you see the back windshield shatter and disintegrate. Moments later the car arrives at the airport with the windshield intact. We see de Gaulle get out of the car with the intact rear windscreen.
Plot hole: An important plot point (in the book and the film) is that Charles Calthrop - thought to be the Jackal, at that stage - played some mysterious part in the 1961 assassination of Rafael Trujillo, the dictator of The Dominican Republic, and rumours of his involvement came to the attention of MI6 and Special Branch, leading to the accidental exposure of the Jackal's false passport. In fact there is no mystery at all about the assassination of Trujillo and there were no shadowy foreigners involved. It was organised by Trujillo's own senior aides, amongst them General Juan Tomás Díaz, Antonio de la Maza, Amado Garcia Guerroro and General Antonio Imbert Barrera. The gunmen was later identified as Luis Aniama Tio. All the conspirators except Tio were arrested, tortured and shot. There was no panicked evacuation of foreigners who were involved with Trujillo's regime and no reason for them to be concerned - the government did not fall and Trujillo's brother Hector took over as President, ruling in a brutal and totalitarian manner for a further eight years. Any rumours of a mysterious Englishman would have been dismissed out of hand and would not have made it onto even the lowest level filing system anywhere in Whitehall.
Factual error: Charles de Gaulle's Citroen DS19, a vehicle that appears repeatedly, is an anachronism: it's a 1965 model used in a movie set in 1963. Although the design differences are few, they are noticeable from the outside. It's difficult to imagine why the production team used an incorrect car that got so much screen time (as opposed to the aforementioned 1966 Alfa and several other background vehicles).