Home Postcodes by state NSW 2034 Postcode 2034 2034 is the postcode for 2 localities in NSW: Coogee and South Coogee. Localities with postcode 2034CoogeeNSWSouth CoogeeNSW Postcode 2034 State or territory New South Wales (NSW) Localities 2 Council area Randwick Council area based on Australian Bureau of Statistics data (ASGS Edition 3), CC BY 4.0. Postcode 2033 · Postcode 2035