The animation is here. Syncing the video to the map animation may take a bit of fiddling - I found the video got ahead of the map a couple of times - but pausing the video for a moment fixed it.
With Hendrix' brilliant mashup making the rounds of automotive blogs at the moment (Thanks for the tip, Alberto!), a post on Le Blog Auto took us to another post that dispels the myths around the making of the film. (Did Lelouch drive, or did he enlist a Grand Prix driver? Was it a Ferrari? A Mercedes? Was it staged?) Well, it turns out it was Lelouche himself, driving his Mercedes 300 (with two passengers!), on the open streets of Paris. The film was made in one take (that's all the film they had). Oh, and the Ferrari rumor? The soundtrack is pure Ferrari, dubbed in after filming.
But wait, there's more! Here's a video made earlier this year, on the 30th anniversary of the original drive, in which Claude Lelouche returns to the scene and describes how the film was made (in French).
[Sources: bhendrix.com, leblogauto, memoiresdestands]