What court can hear appeals of US Supreme Court decisions?

According to Article 3 of the U.S. Constitution, no other court has appeal authority over the Supreme Court.

"In all other Cases before mentioned, the supreme Court shall have appellate Jurisdiction, both as to Law and Fact..."

The Congress, if it doesn't like a ruling, can try and pass legislation (laws) that will have the affect of overruling a Supreme Court decision, but it takes a long time (usually) and is not always successful.

The Supreme Court could still declare the new law unconstitutional.