One of New York City's more remarkable attractions, The New York Marble Cemetery (sometimes called the Second Avenue Cemetery), is a small burial ground in lower Manhattan and one of the very few places in New York City that is just as it was in 1830. It occupies the interior of the block bounded by 2nd Street, Second Avenue, 3rd Street, and the Bowery. It is entered through an alleyway with an iron gate at each end, located between 41 and 43 Second Avenue. Note that it is only open on select dates for a few hours at a time. Please visit their website for updated open dates and hours.
Most of the 2,060 interments here took place between 1830 and 1870. All burials are in 156 below-ground vaults made of solid white Tuckahoe marble. If your a descendant of one of the original owners, you are in luck. You can still be buried here!
Also have a look at the nearby New York City Marble Cemetary, on East Second Street between First and Second Avenues.