What kind of cases do you think are handled at each of the three courts. appellate court, supreme court, and circuit court.

I only know the State Court, so yeah... sorry. But Anyway Among the many protections set in place by the US constitution are limitations on exactly what federal court has jurisdiction over. These protections were established in Article III of the Constitution, and limited the power of the Federal government (and the federal court system). Because the founders of the country wanted to ensure that too much power was not concentrated in a strong federal government, the state courts actually have more rights to hear different cases than the federal courts do. So, the answer to what the different state cases handle is fairly broad- they are courts of "general" jurisdiction and can hear cases that deal with everything that the federal courts don't have an exclusive right to deal with.