Most of NYC's push-to-cross traffic-light buttons have been deactivated for years, but still function as a placebo. More interesting, is the glimpse into the history of computer-aided traffic routing and the "Barnes Dance" afforded by this NYT article:
Most of the buttons scattered through the city, mainly outside of Manhattan, are relics of the 1970's, before computers began tightly choreographing traffic signal patterns on major arteries. They were installed at a time when traffic was much lighter, said Michael Primeggia, deputy commissioner of traffic operations for the city's Transportation Department.
The first "semi-actuated signal," as they are called by traffic engineers, is believed to have appeared in the city in 1964, a brainstorm of the legendary traffic commissioner, Henry Barnes, the inventor of the "Barnes Dance," the traffic system that stops all vehicles in the intersection and allows pedestrians to cross in every direction at the same time. Barnes was also instrumental in completing the one-way conversion of major avenues in New York.
(via Paul Boutin)