Lunch near New Amsterdam Theater - Bway & 42nd
It would have been helpful if you had indicated cuisine preferences and budget level. That said, here some options (keeping in mind that, since the Times Square/Theater District is a very tourist-intensive part of town, some may be dining at the tables near yours):
dbBistro Moderne, on 44th St., b/t 5th & 6th Avs., is 4-star chef Daniel Boulud's upscale take on French bistro cuisine.
Westbank Cafe, on 42nd St., b/t 9th & 10th Av., serves New American cuisine.
Marseille, the French/Mediterranean brasserie, is on the corner of 9th Av. & 44th St.
Cascina, on 9th Av., b/t 45th & 46th Sts., for Italian food.