New Mexico Statutes Chapter 34. Court Structure and Administration § 34-5-8. Court of appeals; appellate jurisdiction

(1) any civil action not specifically reserved to the jurisdiction of the supreme court by the constitution or by law;

(2) all actions under the Workers' Compensation Act,  1 the New Mexico Occupational Disease Disablement Law, the Subsequent Injury Act and the federal Employers' Liability Acts;  2

(3) criminal actions, except those in which a judgment of the district court imposes a sentence of death or life imprisonment;

(4) post-conviction remedy proceedings, except where the sentence involved is death or life imprisonment;

(5) actions for violation of municipal or county ordinances where a fine or imprisonment is imposed;

(6) decisions of administrative agencies of the state; and

(7) decisions in any other action as may be provided by law.