Resolved questions
Can you explain what they do?

Superior Court: In England and Wales, the superior court is most often referred to as either the High Court, the Crown Court or the Court of Appeal, which is 3rd on the list. This link explains them all: http://www.judiciary.gov.uk/you-and-the-judiciary/going-to-court/court-of-appeal

Supreme Court: This link explains what the Supreme Court does: http://www.supremecourt.gov.uk/about/role-of-the-supreme-court.html

Court of Cassation ('Cour de Cassation' in French) is the French equivalent to England and Wales' High Court. http://www.courdecassation.fr/about_the_court_9256.html (In English)

*All the sources I have posted are in English.