What is an unsanctioned method the Executive Branch sometimes uses to check the Judicial Branch?

The Judicial Branch of government can rule on any case under their jurisdiction; they cannot, however, enforce the ruling as that 'power' is reserved for the executive branch. So the executive can simply ignore the ruling.

For example the US Supreme Court held that Georgia could not regulate or make laws that applied to Cherokee land, but President Jackson didn't enforce the Court's decision, so Georgia was able to ignore Chief Justice Marshall's decision with impunity.