I made a series of maps giving a snapshot of rapid transit service in New York City every 5 years from 1875 through 2010. (Scroll down for prev/next links, or press 'a' for previous and 's' for next.) These depict not only what physical infrastructure existed, but also (as best as I could determine) which routes ran where in midday service at the end of each of the years in question, using the modern trunk-line-based colour scheme. Please let me know if you have any comments/questions, and especially if you notice anything incorrect about the maps.
Very impressive. And rather discouraging that so little has been accomplished in recent decades. I believe New York had the only rapid transit system in the world that was shrinking in route mileage (in the period from 1960 to 1980).
This is a matter of definition: would the New York, Westchester and Boston be classified as rapid transit or as a commuter railroad? I've usually seen it described as a railroad, but it may have had aspects of both.