Constitutional Council (France)
The Government of France consists of an executive branch (President of the Republic, Prime Minister, ministers, and their services and affiliated organizations), a legislative branch (both houses of Parliament), and a judicial branch. The judicial branch is, unlike for instance the federal judiciary of the United States under the Supreme Court, not organized into a single hierarchy (administrative courts fall under the Council of State, civil and criminal courts under the Court of Cassation), and some of its entities also have advisory functions. For historical reasons there has long been a hostility to having anything resembling a "Supreme Court"—that is, a powerful court able to quash legislation. Whether the Council is a court is a subject of academic discussion, but some scholars consider it the supreme court of France.
State court (United States)
Generally, state courts are common law courts, and apply their respective state laws and procedures to decide cases. They are organized pursuant to and apply the law in accordance with their state's constitution, state statutes, and binding decisions of courts in their state court hierarchy. Where applicable, they also apply federal law. Generally, a single judicial officer, usually called a judge, exercises original jurisdiction by presiding over contested criminal or civil actions which culminate in trials, although most matters stop short of reaching trial. The decisions of lower courts may be reviewed by a panel of a state court of appeals. Generally, there is also a highest court for appeals, a state supreme court, that oversees the court system. In matters that involve issues of federal law, the final decision of the state's highest court (including refusals to hear final appeals) may be appealed to the United States Supreme Court (which also has the discretion to refuse to hear them).