This guide provides a list of the Registers of Births, Deaths and Marriages, 1787-1856. The records are Open to Public Access (OPA).
Are you looking for BDMs?
For copies of birth, death and marriage certificates registered in NSW and NSW historical BDM indexes you need to visit the NSW Registry of Births, Deaths and Marriages website. It provides access to online historical indexes: NSW Births that are over 100 years old, NSW Deaths that are over 30 years old, and NSW Marriages that are over 50 years old.
For historical information and other sources on baptisms, deaths and marriages, this guide may be of interest.