You need to try Picholine.
It has long been one of my favorite high end NY restaurants, at least in part because in my opinion it was close to places like John Georges, Daniel and Le Bernardin but a lot less expensive (although still not cheap by any means). We went there last night for dinner. In thinking of this thread, and remembering I thought they had a vegetarian option, I asked the waiter. Indeed, they had a separate vegetarian menu with multiple fixed price (depending on numbers of courses) options as well as ala carte ordering. They had several choices but my wife and I both decided to order from the vegetarian menu and ended up getting the same thing. First course was a mixture of different types of heirloom beets with a horseradish preparation. Main course was vegetarian wild mushroom risotto with pumpkin and black truffle butter. Both were superb. The risotto had an almost explosive flavor. Could not have been happier, even comparing to the non-vegetarian menu. It was really a great meal.