Whenever I have a hankering for chicken noodle soup, I usually go with International Poultry Company. There's one in my hood (54rh and 1st) and I think there's also one in MWest. But I'm not sure where. A quick menupages search will find one for you though.
East Side Poultry on 1st betw. 79th and 80th. You can take a container of either clear chicken broth or "chicken in a pot" with chicken and veggies and they pack separately noodles and matzoh balls if you choose.