It depends which supreme court you are referring to. Countries have different legislation and hierarchy for courts of law.
supreme court
Starts with primary court, followed up by District court which exercises horizontal power with Resident Magistrate's Court it has greater powers though,above all is the High Court of Tanzania,and the Highes Court in the hierarchy is Court of Appeal.
Municipal Court - County Court - Circuit (or District) Court - Court of Appeals- Supreme Court.
Supreme Court=>County Court=>Magistrate's Court (and it's divisions being: drug, koori &etc.)
A Magistrate's Court is lower on the scale of judicial hierarchy than a Court of General Sessions.
Supreme Courts generally, by definition are the highest court within their hierarchy (hence the name supreme)
The hierarchy of federal courts is District Court, Court of Appeals, US Supreme Court. So, the Court of Appeals is the answer. At least if your quest is only specifying the federal judiciary.
In Tanzania, the hierarchy of precedent is structured primarily around the court system. At the top is the Supreme Court, whose decisions are binding on all lower courts. Below the Supreme Court are the Court of Appeal and High Court, which provide binding precedents for subordinate courts. Finally, the District and Primary Courts follow, where decisions can be persuasive but are not binding on higher courts.
Basically how precedents relate to the hierarchy of courts is that all the lower level courts within the judicial system applies the rule of law or precedent that was created at the court above them. For example, since the privy council is the highest level in the hierarchy of courts, in fact, the court of appeal, the supreme, resident magistrate and even petty sessions courts would apply the decisions made in similar cases.
Although the names or titles of the courts may differ from jurisdiction to jurisdiction - from low to high they usually are> Justice of The Peace Court or Magistrate's Court - Municipal Court - State Circuit Courts - State Court of Appeals - State Supreme Court. The federal system is> US District Court - US Court of Appeals - US Supreme Court. In the federal system there are other specialized courts which function in their areas of specialization e.g.: US Patent Court - IRS Tax Court - etc)
In Australia, the hierarchy of courts consists of several levels, starting with the High Court at the top, which is the highest appellate court and has the authority to interpret the Constitution. Below the High Court are the Federal Court and the various State and Territory Supreme Courts, which handle serious criminal and civil cases. Next are the intermediate appellate courts, such as the District or County Courts, followed by lower courts, including Magistrates' Courts, which deal with minor offenses and preliminary hearings. This structured hierarchy allows for appeals and ensures that legal matters are addressed at the appropriate level.