Hi,
This is my first post to the LTH Forum because it just so happens that I live in New York and probably can answer this question with some authority. Hammerstein Ballroom is quite near Little Korea (which is, oddly, also very near Macy's and the Empire State Building if you're looking for other attractions.)
There are plenty of places to check out, but I like this one for lunch:
Mandoo Bar, 2 W. 32nd Street (that's at 5th Avenue)
This is also supposed to be great, though I've only tried a similar outpost in Queens. The famed chicken wings are worth a try:
Bon Chon Chicken, 314 Fifth Avenue at 32nd Street, 2nd Floor.
Enjoy!
B