Superphylum Deuterostomia Grobben, 1908 - deuterostomes
 see Infrakingdom Deuterostomia Grobben, 1908
  
 Phylum Chordata Bateson, 1885 - chordates
    
 Subphylum Craniata auct.
      
 Superclass Myxinomorphi [monotypic]
 see Infraphylum Myxinomorphi
        
 Class Myxini Jaekel, 1911 [monotypic]
          
 Order Myxiniformes - hagfishes
            
 Family Myxinidae Rafinesque, 1815 - hagfishes
              
 Subfamily Myxininae Rafinesque, 1815 - hagfishes
                
 1 Genus Myxine Linnaeus, 1758
                
 2 Genus Notomyxine Nani & Gneri, 1951 [monotypic]
                
 3 Genus Neomyxine Richardson, 1953 [monotypic]
                
 4 Genus Nemamyxine Richardson, 1958