The Central Park Carousel is a vintage fairground ride near the southern half of the park, with painted horses, old music, and a setting that makes it feel more charming than its few minutes of motion should allow. The current carousel dates from 1908 and has been in Central Park since the early 1950s.
It is a small stop, but a good one with children or anyone who likes old urban amusements. Combine it with a wider Central Park walk rather than making a special trip just for the ride.