He was also the director of the New York Philharmonic which led to his deep involvement in the creation of Lincoln Center on whose board he also served.
[2] Greenway, as the chairman of the opera and a director of the New York Philharmonic, was instrumental in working with John D. Rockefeller III in the establishment, construction, and adoption of Lincoln Center.
It was under Greenway's leadership alongside Craig Smyth that the institute was able to acquire and convert the James B. Duke House as its new home in 1958.
[8] His father, James Greenway Sr. and mother Harriet provided the endowment to create the Yale School of Public Health.
Greenways brothers were all Yale graduates like Lauder; his younger brother, Gilbert C. Greenway, was a pioneering pilot who later served in the Dwight D. Eisenhower administration as the deputy assistant secretary of the United States Air Force after serving as an officer in the CIA.
His elder brother, James Cowan Greenway, was a prominent figure in ornithology who led Harvard's Museum of Comparative Zoology.