After McKenna & Bell, 1997, and McKenna, Wyss & Flynn, 2006

<==o Phyllophaga Owen, 1842 (sloths; laiskiaiset) [Synonyms]
   |?- †Diellipsodon Berg, 1899 [Elipsodon Roth, 1898]
   |?- †Amphiocnus Kraglievich, 1922
   |?- †Rathymotherium Ameghino, 1904 [Rathymotheriidae Ameghino, 1904]
   `--+--o †Mylodonta McKenna & Bell, 1997
      |  |--o †Orophodontoidea Ameghino, 1895 [Orophodontidae Ameghino, 1895; Orophodontoidea Kraglievich & Rivas,1951; Paragravigrades Hoffstetter, 1954]
      |  |  `-- †Orophodontidae Ameghino, 1895 [Synonyms]
      |  `--o †Mylodontoidea Gill, 1872 [Mylodontinae Gill, 1872; Mylodontidae Gill, 1872 sensu McDonald & Perea, 2002]
      |     |?- †Pseudoprepotherium Hoffstetter, 1961
      |     |-- †Scelidotheriidae Ameghino, 1889 [Scelidotheridae Ameghino, 1889; incl. Nematheridae Mercerat, 1891]
      |     `-- †Mylodontidae Gill, 1872 [Mylodontinae Gill, 1872; Mylodontidae Ameghino, 1889]
      `--+--o †Pseudoglyptodon Engelmann, 1987
         |  |-- †P. sp. [Glyptatelus tatusinus Ameghino, 1897 (in partim); Glyptatelus fractus Ameghino, 1902 (in partim)]
         |  |-- †P. sallaensis Engelmann, 1987
         |  `-- †P. chilensis McKenna, Wyss & Flynn, 2006
         `--o Tardigrada Latham & Davies, 1795 sensu McKenna, Wyss & Flynn, 2006 [Megatheria McKenna & Bell, 1997] (laiskiaiset)
            |--o Bradypodoidea Gray, 1821 [Bradypidae Gray, 1821; Bradypodoidea Simpson, 1931]
            |  `--o Bradypodidae Gray, 1821 [Synonyms]
            |     `--o Bradypus Linnaeus, 1758 [Synonyms] (kolmivarvaslaiskiaiset)
            |        |-- (Scaeopus) torquatus (harjalaiskiainen)
            |        `--o (Bradypus) Linnaeus, 1758
            |           |-- B. (B.) variegatus (ruskeakaulalaiskiainen)
            |           `-- B. (B.) tridactylus (kolmivarvaslaiskiainen)
            `--o Megatheroidea Gray, 1821 [Synonyms]
               |-- †Megatheriidae Gray, 1821 (jättiläislaiskiaiset) [Synonyms]
               `--+-- †Nothrotheriidae Ameghino, 1920 sensu de Muizon, McDonald, Salas & Urbina, 2004 (nothrotheres) [synonyms]
                  `-- Megalonychidae Gervais, P., 1855 (kaksivarvaslaiskiaiset) [synonyms]

After Gaudin, 2004

<==o Phyllophaga
   |-- Bradypus
   `--+--+-- †Octomylodon
      |  `--+-- †Nematherium
      |     `--+--+-- †Catonyx
      |        |  `-- †Scelidotherium
      |        `--+-- †Pseudoprepotherium
      |           `--+-- †Octodontotherium
      |              `--+-- †Mylodon
      |                 `--+-- †Paramylodon
      |                    `--+-- †Pleurolestodon
      |                       `--+-- †Glossotherium
      |                          `--+-- †Lestodon
      |                             `-- †Thinobatistes
      `--+-- †Pelecyodon
         |-- †Schismotherium
         `--+--+-- †Hapalops
            |  `--+-- †Analcimorphus
            |     `--+--+-- †Planops
            |        |  `--+-- †Eremotherium
            |        |     `-- †Megatherium
            |        `--+-- †Pronothrotherium
            |           `--+-- †Nothropus
            |              `--+-- †Nothrotheriops
            |                 `-- †Nothrotherium
            `--+-- †Eucholoeops
               `--+-- †Megalonyx
                  `--+-- †Pliometanastes
                     `--+-- †Pliomorphus
                        `--+--+-- †Neocnus
                           |  `-- Choloepus
                           `--+-- †Acratocnus
                              `--+-- †Parocnus
                                 `-- †Megalocnus

Reference(s):