New York Burrito Share definition Flag the sexual act of a male defecating into his female partner's vagina. Because Eric didn't feel right about taking a dump into a woman's cooter, the thought of a New York Burrito did not appeal to him. New York Burrito by JoFo July 27, 2008 0 0 Get merch Get the New York Burrito mug. Buy Now — $32.95 See more merch