After Zaher, 1998, Tchernov, Rieppel, Zaher, Polcyn, & Jacobs, 2000, Zaher & Rieppel, 2002 and Rieppel, Kluge & Zaher, 2002

<==o Serpentes Linnaeus, 1758 (snakes; käärmeet)
   |?- †Pachyophis woodwardi Nopsca, 1923 [Pachyophiidae]
   `--+?-o †Coniophis Marsh, 1892
      |  |-- †C. cosgriffi
      |  |-- †C. precedens Marsh, 1892
      |  |-- †C. carinatus
      |  |-- †C. platycarinatus
      |  `-- †C. dabeidus
      |?- †Palaeophidae Lydekker, 1888
      `--+?-o Scolecophidia (sokkokäärmeet)
         |  |-- Leptotyphlopidae (matokäärmeet) [2/93]
         |  `--+-- Typhlopidae (sokkokäärmeet)
         |     `-- Anomalepididae
         `--+?- †Dinilysia patagonica Smith-Woodward, 1901 sensu Zaher, 1998 [Dinilysiidae McDowell, 1987]
            `--o Alethinophidia
               |--o Lapparentophidae
               |  |?- †Lapparentopheidae genera et species indet. 1 [Sudan]
               |  |?- †Lapparentopheidae genera et species indet. 2 [Sudan]
               |  |?- †Pouitella pervetus
               |  `-- †Lapparentophis defrennei 
               `--+-- †Simoliophis sauvagei [Simoliophidae]
                  |-- Anilioidea (telakäärmeensukuiset)
                  `-- Macrostomata sensu Zaher, 1998, Zaher & Rieppel, 2002

Serpentes incertae sedis:

Many of these are probably madtsoniids or booids.

OphidiumMesophisAlbaneryxCadurceryxCadurcoboaDaunoplisDawsonophisDunnophisHelagras prisciformisLithopbisPaleopythonPaleryxPlesiotortrixPterygoboaTregophis

Reference(s):