Formal name of an appellate court in certain jurisdictions. In the State of New York, for instance, the Court of Appeals is the highest court in the land.
In New Mexico, the Court of Appeals is the intermediate appellate court between county jurisdictions and the state's Supreme Court.
In Nevada, there is no Court of Appeals. Cases are appealed directly from District (county) Courts to the state's Supreme Court.
In England and Wales, the Court of Appeals sits above the High Court (also an appellate court) and below the (more or less) ultimate judicial authority, the House of Lords.