courts that take over the decision of other courts are.?

They are called appellate courts or appeals courts.

I think the answer you are looking for is the Supreme Court.

 

The Supreme Court is the highest law of the land.  

A federal or state court ruling can be overturned by the Supreme Court.

A court that has the authority to overturn trial court decisions is an appeals court or appellate court. There are sometimes different levels of appeals courts, most commonly an intermediate appeals court and a high (supreme) court. In the federal court system, trial courts are called District Courts, appeals courts are called Circuit Courts, and the high court is called the Supreme Court. Each state has its own court system and may assign different names to the different levels of courts and some only have a trial court and a high court. Some states use counter-intuitive labels: for example, New York's trial court is called Supreme Court and its high court is called the Court of Appeals. Appeals courts frequently have a limited scope of review and function differently than trial courts. In the run of cases, appeals courts can be more accurately said to review rather than "take over" decisions of other courts. 

Mary is correct. The Supreme Court is the highest court of appeal, the decisions of a supreme court are not subject to further review by any other court.

While Mary is not wrong or incorrect, I believe Andre's answer works better for your purposes. The Supreme Court is the ultimate appellate court.