Superphylum Deuterostomia Grobben, 1908 - deuterostomes see Infrakingdom Deuterostomia Grobben, 1908
   Phylum Chordata Bateson, 1885 - chordates
     Subphylum Craniata auct.
       Vertebrata Lamarck, 1801 - vertebrates see Infraphylum Vertebrata Lamarck, 1801
         Myopterygii Janvier, 1978 - myopterygians
           Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
             Grade Teleostomi Bonaparte, 1836 see Clade Pan-Osteichthyes Rowe 2004 [Moore & Near 2020]
               Euteleostomi - bony vertebrates see Clade Osteichthyes Huxley 1880 [Moore & Near 2020]
                 Class Actinopterygii Woodward, 1891 - ray-finned fishes see Clade Actinopterygii Woodward 1891 [Moore & Near 2020]
                   Subclass Neopterygii Regan, 1923
                     Division Teleostei Müller, 1845
                       Elopocephala Arratia, 1999 see Supercohort Teleocephala de Pinna, 1996
                         Clupeocephala Patterson & Rosen, 1977 see Cohort Clupeocephala Patterson & Rosen, 1977
                           Subdivision Euteleostei Greenwood et al., 1966 [monophyletic?] see Cohort Euteleostei Greenwood et al., 1966
                             Neoteleostei Nelson, 1969 - neoteleosts see Infracohort Neoteleostei Nelson, 1969
                               Eurypterygii Rosen, 1973 - eurypterygians see Infracohort Eurypterygia Rosen, 1973
                                 Ctenosquamata - ctenosquamates see Section Ctenosquamata Rosen, 1973
                                   Acanthomorpha Rosen, 1973 - spiny-rayed fishes see Subsection Acanthomorphata Rosen, 1973
                                     Euacanthomorpha Johnson & Patterson, 1993
                                       Holacanthopterygii Johnson & Patterson, 1993
                                         Superorder Acanthopterygii Rosen & Patterson, 1969 see Division Acanthopterygii Rosen & Patterson, 1969
                                           Series Atherinomorpha Greenwood et al., 1966 see Infraseries Atherinomorpha
                                             Superorder Cyprinodontea see [unranked] Cyprinodontoidei Dyer & Chernoff, 1996
                                               Order Cyprinodontiformes Berg, 1940 - killifishes
                                                 Suborder Aplocheiloidei
                                                   Family Rivulidae Myers, 1925, nom. illeg. - New World rivulins
                                                     01 Genus Aphyolebias Costa, 1998 see Genus Moema Costa, 1989
                                                     02 Genus Austrofundulus Myers, 1932
                                                     03 Genus Austrolebias Costa, 1998
                                                     04 Genus Campellolebias Vaz-Ferreira & Sierra de Soriano, 1974
                                                     05 Genus Cynolebias Steindachner, 1876
                                                     06 Genus Cynopoecilus Regan, 1912
                                                     07 Genus Gnatholebias Costa, 1998
                                                     08 Genus Kryptolebias Costa, 2004
                                                     09 Genus Leptolebias Myers, 1952
                                                     10 Genus Maratecoara Costa, 1995
                                                     11 Genus Megalebias Costa, 1998
                                                     12 Genus Micromoema Costa, 1998
                                                     13 Genus Millerichthys Costa, 1995, nom. protect.
                                                     14 Genus Moema Costa, 1989
                                                     15 Genus Nematolebias Costa, 1998
                                                     16 Genus Neofundulus Myers, 1924
                                                     17 Genus Papiliolebias Costa, 1998
                                                     18 Genus Pituana Nelson, 1994, orth. inval. see Genus Pituna Costa, 1989
                                                     19 Genus Plesiolebias Costa, 1989
                                                     20 Genus Pterolebias Garman, 1895
                                                     21 Genus Rachovia Myers, 1927
                                                     22 Genus Renova Thomerson & Taphorn, 1995
                                                     23 Genus Rivulus Poey, 1860
                                                     24 Genus Simpsonichthys Carvalho, 1959
                                                     25 Genus Spectrolebias Costa & Nielsen, 1997
                                                     26 Genus Stenolebias Costa, 1995
                                                     27 Genus Terranatos Taphorn & Thomerson, 1978
                                                     28 Genus Trigonectes Myers, 1925