(A) Appeal of Right. The circuit court has jurisdiction of an appeal of right filed by an aggrieved party from the following:
(1) a final judgment or final order of a district or municipal court, except a judgment based on a plea of guilty or nolo contendere;
(2) a final order of a probate court under MCR 5.801(C);
(3) a final order or decision of an agency governed by the Administrative Procedures Act, MCL 24.201 et seq.; and
(4) a final order or decision of an agency from which an appeal of right to the circuit court is provided by law.
(B) Appeal by Leave. The circuit court may grant leave to appeal from:
(1) a judgment or order of a trial court when
(a) no appeal of right exists, or
(b) an appeal of right could have been taken but was not timely filed;
(2) a final order or decision of an agency from which an appeal by leave to the circuit court is provided by law;
(3) an interlocutory order or decision of an agency if an appeal of right would have been available for a final order or decision and if waiting to appeal of right would not be an adequate remedy;
(4) a final order or decision of an agency if an appeal of right was not timely filed and a statute authorizes a late appeal; and
(5) a decision of the Michigan Parole Board to grant parole.