New York subway map. 1918 map of the 'New Subway of Greater New York', New York, USA. It shows the lines serving the west and east sides of Manhattan Island, with branches to Brooklyn and Queens (upper right) and to the Bronx (centre left) across the Harlem River. The New York City Subway's first line began operating in 1904. The lines here include ones operated by the Brooklyn Rapid Transit Company and the Interborough Rapid Transit Company. Some of the lines are elevated railways, some are underground railways, and some are rapid transit and express and local services. This map is from the Manhattan Publishing Company.