The Bethesda Terrace is one of the iconic landmarks of Central Park, and is located mid-park, providing access from both Fifth Avenue and Central Park West at 72nd. The fountain is one of the largest in New York, 26 feet high and 96 wide. It’s the only sculpture in the park to have been commissioned as part of the park’s original design. Known as the Angel of Waters, it features and eight-foot bronze angel standing above four small cherubim representing health, purity, temperance, and peace. There are a variety of ceremony locations in the area: near the Fountain, in the arcade (which is filled with stunning mosaics and interesting lighting), or the grand staircase and mezzanine.
One consideration: the Fountain is a busy area, filled with Park visitors and, from time-to-time street performers, so it probably wouldn’t be the best location for those seeking privacy for their special occasion.