The shot of the 737 landing at the airport when Spurrier is returning to Paris shows the flattened intakes of a 737-300 or later series aircraft with CFM56-3 or 7 series engines. This engine was not used on the 737 until 1984.
As Spurrier (Alan Rickman) is tasting wines in the bar in California, we see half of a Benziger Cabernet label - a yellow label on a bottle with a red foil wrapping on the neck. You can clearly see the last three letters of "Benziger", a vineyard that wasn't founded until 1980.
While Bo and Sam are kissing before Bo leaves for France, she's holding his face while two wisps of hair droop down on his right side.
When the camera films to show her face, all his hair is pushed back by her hands.
In the scene where Gustavo pours some of his red wine into a water glass and tells Bo, several times, "try it", the level of wine in the glass is constantly changing, from nearly full to only a sip, even before Bo drinks any of the wine.
At the end where Steven and Maurice are at Steve's wine academy store, they toast their wine glasses. Steve uses his right hand to Maurice using his left hand. When the camera angle changes (reverse shot), pointing outside the front glass display window to looking inside them, Maurice's hand changed to his right hand holding the wine glass.
When Sam lifts up her shirt to flash the cop, the camera shots switch several time between the front & the back, the behind shots show her elbows lifted/arms holding up her shirt, yet the camera shots from the front show her arms down.
(at around 1 min) One of the characters mentions that if the French lose, they might bring back the Guillotine. In actual fact, it was still in use in 1976, as it was the standard method of Execution in France. (The last Execution was in 1977, and the Death Penalty itself was abolished in 1981.)