Home Postcodes by state NSW 2821 Postcode 2821 2821 is the postcode for 2 localities in NSW: Burroway and Narromine. Localities with postcode 2821BurrowayNSWNarromineNSW Postcode 2821 State or territory New South Wales (NSW) Localities 2 Council area Narromine Council area based on Australian Bureau of Statistics data (ASGS Edition 3), CC BY 4.0. Postcode 2820 · Postcode 2823