The problem with vegetarian sandwiches is the name: It sounds like something's missing. Vegetable sandwiches, on the other hand, sound celebratory. Henceforth, no matter the title of this listicle, we intend to call vegetarian sandwiches vegetable sandwiches. For logistical purposes, we've excluded from this ranking sandwich types that merit their own lists, like egg sandwiches, veggie burgers, and falafel. Here, then, the best (vegetarian) vegetable sandwiches in New York.