St-Louis Cemetery no.1
This is one of the oldest cemeteries located in New Orleans, and you can certainly tell by the condition some of the tombs are in.
This is still a place you don't want to miss. It's in a rather shady part of town, so I don't recommend going here alone, but it's very easy to find a walking tour that stops here.
Here you'll find New Orleans' first African-American mayor, Ernst Morial, entombed next to the Glapion family tomb where Marie Laveau and her daughter are both reputedly buried.
Story goes that when they went to entomb the mayor, the path to the family crypt was not large enough, so they had to turn the coffin sideways. Apparently, mourners were able to hear the body thwump against the side of the coffin as the poor mayor's coffin was turned to fit through the narrow walkway. In recent years, the family crypt was rebuilt to face the opposite direction so that an instance like this would never occur again.
An interesting fact about Marie Laveau, a healer and prominent figure in her time: tombs in New Orleans are almost never filled to capacity, and Marie Laveau's tomb is no exception. In her benevolence, she would offer up space in her family crypt to those who could not afford burial space so that they could be buried on Christian ground.
For more pictures that capture the beauty of these old tombs, see my travelogue.
For more info on Marie Laveau and the rituals surrounding her tomb, see my general tips.