I was reminded of the famous car chase in 'The Seven-Ups' recently, and looked on YouTube to see if it had been uploaded. Sure enough, it had: so here it is - one of the most 'adrenaline-rush' car chases ever filmed. It's worth watching it in full-screen mode, if the resolution on your monitor is good enough.
According to Wikipedia:
As in Bullitt and The French Connection, Philip D'Antoni again utilized stunt coordinator and driver Bill Hickman (who also has a small role in the film) to help create the chase sequence for this film. Filmed in and around Upper Manhattan, New York City, the sequence was edited by Gerald B. Greenberg (credited as Jerry Greenberg), who also has an associate producer credit on this film and who won an Academy Award for his editing work on The French Connection.
The chase sequence is located near the middle of the film; in it, Hickman's car is being chased by Scheider. The chase itself borrows heavily from the Bullitt chase, with the two cars bouncing down the gradients of uptown New York (like the cars on San Francisco's steep hills in the earlier film) with Hickman's 1973 Pontiac Grand Ville sedan pursued by Scheider's 1973 Pontiac Ventura Sprint coupe. While Scheider did some of his own driving, most of it was done by Hollywood stunt man Jerry Summers.
Location shooting for the chase scene was done in the Upper West Side of Manhattan, on the George Washington Bridge, and on New Jersey's Palisades Interstate Parkway and New York's Taconic State Parkway.
In the accompanying behind-the-scenes featurette of the 2006 DVD release of the film, Hickman can be seen co-ordinating the chase from the street where we see a stuntman in a parked car opens his door as Hickman's vehicle takes it off its hinges. The end of the chase was Hickman's 'homage' to the death of Jayne Mansfield, where Scheider's car (driven by Summers) smashes into the back of a parked tractor-trailer, peeling off the car's roof.
Memorable stuff. At the time of writing, the full movie is available on YouTube.