After Carroll, 1988, Nelson, 1994, and Fierstine, 2001, with Recent species from Froese & Pauly, 2001 [“The Fishbase”]

<==o “Thunniniformes”
   |-- Scombrolabrax heterolepis Roule, 1921 [Scombrolabracoidei: Scombrolabracidae] (Longfin escolar)
   `?-o Scombroidei Bleeker, 1859 (makriilikalat)
      |?- †Blochiidae Bleeker, 1859
      |?-o †Hemingwayidae
      |  `-- †Hemingwaya Sytchevskaya & Prokofiev, 2002
      |-- Sphyraenidae (barracudas; barracudat) [N: 1/18] [FB: 1/25]
      `--+?-o †Palaeorhynchidae
         |  |-- †Enniskillenius Casier, 1966; L. Eoc. Eu.
         |  |--o †Homorhynchus van Beneden, 1873 [Hemirhynchus] Eoc. Mioc. Eu.
         |  |  `-- †H. colei
         |  `--o †Palaeorhynchus Blainville, 1818; Eoc. Mioc. Eu. Olig. WAs.
         |     |-- †P. altivelis
         |     `-- †P. parini
         |--+-- Gempylidae (käärmemakrillit) [16/23]
         |  `-- Trichiuridae (huotrakalat; cutlassfishes) [9/32]
         `--o Scombridae Rafinesque, 1815 sensu Monsch et al., 2005
            |-- Scombridae Rafinesque, 1815 (mackerels, tunas, and relatives; makrillit)
            `-- Xiphiidae Swainson, 1839 [incl. Istiophoridae; Histiophoridae; Tetrapturidae; Scombridae: Xiphiinae sensu Monsch et al., 2005] (billfishes; miekkakalat)

Reference(s):