OK, I've narrowed it down, Del Posto. or Jung Sik for special Anniversary dinner.
Jung sik has delicious gourmet food. Del Posto is better for an special anniversary dinner as far as atmosphere, and the food is good at Del Posto.Del Posto will be a tougher reservation to get.
85 10th Avenue, New York, NY 10011
2 Harrison St, New York, NY 10013