Late Sunday Night Dining.
It would be helpful to know your cuisine preferences and budget for food, but that said...
If you and your family like steak, Smith & Wollensky is right there, on the corner of 3rd & 49th. Open until midnight.
If you like Italian, Luna Piena is on 53rd, b/t 2nd & 3rd. Open until 11 p.m. on Sunday.