I don't know New York very well, but yes they appear to be on a route or in a small area.

4 is zoomed into the right centre of 3

9, 10, 11 all feature Times Square

The building in 13 appears to be that in 12

19 appears to be on the edge of Central Park in 20

19 is the Plaza Hotel, which is on the SE corner of Central Park, in fact.

20 is Sheep Meadow in CP, looking SW

15 is midtown, as the Chrysler Building is centre left.

14 is St. Patrick's Cathedral (Fifth Ave and 51 St.)

3 is the Wall Street area

2 is down near City Hall

So yes, it's pretty much a N-S trip over Manhattan.

3 is the Municipal Building (foot of the Brooklyn Bridge); 4 detail of same

the building on the left in 6 looks like the Puck building which would mean it is the corner of Houston and Lafayette

9, 10 and 11 definitely Times Square

14 is the back of St. Pats, which means it's Madison Ave. I used to work in the building at the upper right!

19 looks to me like the Dakota, not the Plaza (same architect)

The last two are either CPW, 5th Ave, or Central Park South - you can see the park wall at left.

I think some of these look like CGI composites, though.

from the website of the company who did the opening sequence:

"Panic Room’s slow moving, aerial opening title sequence features dramatic architectural shots above New York City. “The titles themselves are constructed and fit so that they appear to be real and near but not attached to building facades,” says CafeFX artist Akira Orikasa. “It was important to light and composite them so that the light shining on each title matches the lighting in the scene.”

“We balanced photo-realism with readability, and to give the titles a sense of weight, we worked on font selection, avoided redundancy in plate selection and, especially, created a lighting pattern that insured that the light shining on the titles captured and reflected the light behind, below, and around it,” Orikasa explains. CafeFX employed Lightwave's radiosity rendering application to capture diffused lighting and color from the environment, and add a "weighty" dimensionality to the titles.

Camera movement in the titles was captured, in part, using a method called Photogrammetry.  "(Director) David Fincher shot background plates of the city, then he wanted to alter the camera motion,” Orikasa explains. “We had to create 3D camera motion that did not exist in the real footage. Photogrammetry allows you to move a virtual camera freely by taking a still image--in this case from the architecture photo stills from a high-res Imax camera--model the geometry of each building in the plate to match the still, then move the camera around. The result is the original shot seen from a new camera angle or motion,” he says. Some shots we created using a mixture of several pieces of film and 3D textured objects."

so actually, these are not video but animated stills... amazing.

dr

The Book you're talking about, is it: Uncredited: Graphic Design & Opening Titles in Movies by Gemma Solana and Antonio Boneu
Big coffe-table-book with a lot of stills (really a lot of)

What a great link!
My favourite is there as well: Catch me if you can

Follow-up question: What Font?

Just a little nit to pick: The typeface used in the "Catch Me If You Can" titles isn't Chalet, but Coolvetica.