Paul Walker and Matt Schulze carefully choreographed the fight scene outside the grocery store, but when it came time to shoot, it didn't feel right. In the end they just improvised.
The title rights, not the story rights, to the film The Fast and the Furious, were purchased so that the title could be used on this project, another film about racing. The original film was shown in a theater owned by the grandfather of producer Neal H. Moritz.
At the house party, Dom says to Brian, "You can have any beer you want, as long as it's a Corona." This is a reference to automobile innovator Henry Ford. Although he probably never said, "You can have any color you want, as long as it's black," and although the Model T to which he was supposedly referring was made in several colors (including a couple of shades of green and red as well as gray, blue, and several others), the phrase has long been attributed to him.
The only cars to feature in both "Fast and Furious" films was Neal H. Moritz's navy-colored Ferrari F355, and Dom's RX-7. In the first film, the F355 was used in the Malibu race scene and then parked outside Verone's house in 2 Fast 2 Furious. The RX-7 was changed and used again in the second film as Orange Julius' car in the first race scene.
The trivia items below may give away important plot points.
The street where Vin Diesel crashes his car at the end of the film is the same location as the first narcotics bust in Training Day, which was also written by David Ayer.
Dominic Toretto's black muscle car is a 1970 Dodge Charger with a 528ci supercharged Hemi and four speed transmission. This Charger is the same body style (although one year newer) as the famous 1969 Dodge Charger "General Lee" of the The Dukes of Hazzard television series. After the filming of the crash at the end of the film, the same 1970 Charger wound up in the opening scenes of Herbie Fully Loaded as a car in the junkyard.