Just got back from Molly's on 3rd Ave between 22nd and 23rd. I ordered one of their 10 oz burgers with sauteed onions.
Let me tell you, that is one damn fine burger. Easily among the top 3 or 4 I've ever had in NYC. Service was also very, very friendly and this huge burger with an even bigger side of fries was only $10.
Molly's is a classic Irish pub, dimly lit with a solid 1/4 inch of sawdust on the floor throughout the entire place.
the one drawback is that this place really is way too dimly lit. Very annoying and straining on the eyes, but the candle on the table is enough so you can see your food, which is all that really matters.