Which court is established under the Local Court Act 1982 NSW?

The Local Court is specifically established under the Local Court Act of 1982 in New South Wales. This court serves as a lower tier in the hierarchy of the NSW court system and has a broad range of jurisdiction, including civil, criminal, and family law matters. It is designed to provide a more accessible venue for the resolution of less serious cases and disputes, helping to alleviate the burden on higher courts.

The other options refer to different courts within the NSW judicial system. The District Court handles more serious criminal offenses and civil cases with higher monetary limits than the Local Court. The Supreme Court is the highest court in the state, dealing with the most serious matters, including appeals from lower courts. The Children's Court is a specialized court that focuses on cases involving minors. Each of these courts serves distinct roles and functions within the legal system, but only the Local Court is established by the Local Court Act of 1982, making it the correct answer.