The Ramble Cave

"You have to hop a fence or take a boat to get here. The cave used to pass all the way through from the inlet on the Lake all the way to an exit by the Ramble Arch (roughly 100 feet). But after a few mysterious deaths and a LOT of bad guys harrassing women (to put it very gently, not sure what I'm allowed to say on this app), Central Park concealed the north entrance in dirt and rock and then bricked up the south entrance here at the Lake back in the 1930s. Climb over the waist-high fence (it's really there to make sure people don't fall off the cliff, not to keep you out of the cave) and walk down the stone stairs on the north side of the inlet."