Agree with PP that I'd go elsewhere in the city for dinner. NYC is so walkable. Not sure what your pricepoint may be, but I'm dying to go to the Modern, at 9 West 53rd, so very easily walkable from theatre district.
http://www.themodernnyc.com/ Definitely pricey. For a lower priced meal, you can eat in the bar room rather than in the formal dining room.
If you feel like going on a nice long walk to the Upper West Side, I had a great meal years ago at Cesca at 164 West 75th.
http://cescanyc.com/
What kind of food do you like and do you want to spend a lot? There are so many fabulous places in NYC. Happy anniversary!