What are some really good restaurants in New York City?

My boyfriend and I are going to New York city really soon and I wanted to know about really cool restaurants with great food. Nothing too expensive please, but anything moderately priced is good. Anyone have any suggestions or recommendations?

What are some famous restaurants in New York City?

My husband and I are visiting NYC for 3 nights and neither one of us has ever been there.

What are some nice restaurants in New York City and Stony Brook area?

Hey guys! So I'll be staying in Stony Brook area for couple weeks with my mom. And I'm planning on going out to NYC. So I was wondering what are some good restaurants near the MET for snack(cupcakes?), lunch, dinner and dessert or great restaurants in the city in general. (But not too pricey) Also if you know, any decent place around Stony Brook or Port Jefferson area. I've been researching online. But I want to hear from locals or who've been there. Thanks! :)