Home Postcodes by state NSW 2038 Postcode 2038 2038 is the postcode for Annandale, NSW. Localities with postcode 2038AnnandaleNSW Postcode 2038 State or territory New South Wales (NSW) Localities 1 Council area Inner West Council area based on Australian Bureau of Statistics data (ASGS Edition 3), CC BY 4.0. Postcode 2037 · Postcode 2039