Try Baldoria
I haven't been to Rao's yet (not for lack of interest, just lack of anyone with a connection) but have been to Baldoria (49th and 8th Ave) which is run by a nephew(?) of the owner of Rao's- referred to by some as Rao's with a reservation. Pretty nice place, decent bar, good solid food and entertainment upstairs Thursday thru Saturday. I love the veal chop parmesan, as big as the plate! Not on the menu, but they will make it for you.
Babbo is amazing, try showing up about 1/2 hour before opening time, and you can often get a table near the bar area, and sometimes in the regular dining area. Del Posto, also owned by Mario Batali (along with others) is a good place in the Meatpacking area.
Enjoy!