After Parker, 1982, Emig & Pardo, 2003- ["The BrachNet"], and Emig, Bitner & Álvarez, 2013

<==o Terebratulida Waagen, 1883
   |?-o Gwynioidea MacKinnon, 2006
   |--o †Centronellidina
   |  `--o †Stryingocephaloidea
   |--o Terebratulidina Waagen, 1883
   |  |--o †Dielasmatoidea
   |  |--o †Cryptonelloidea
   |  |--o Terebratuloidea Gray, 1840 [Terebratulacea]
   |  |  `--o Terebratulidae Gray, 1840
   |  |     `--o †Coenothyris
   |  |        `-- †C. oweni Feldman
   |  |--o †Loboidothyridoidea
   |  |--o Dyscoloidea Fischer & Oelhert, 1891
   |  |  `-- Dyscoliidae Fischer & Oelhert, 1891
   |  `--o Cancellothyroidea Thomson, 1926 [Cancellothyridacea]
   |     |-- Cancellothyrididae Thomson, 1926
   |     |-- Chlidonophoridae Muir-Wood, 1959
   |     `-- Cnismatocentridae Cooper, 1973
   `--o Terebratellidina Muir-Wood, 1955
      |--o Zeillerioidea Allan, 1940
      |  `-- Zeilleriidae Allan, 1940
      |--o KingenoideaElliot, 1948
      |  |-- Kingenidae Elliot, 1948
      |  `-- Aulacothyropsidae Dagys, 1972
      |--o Laqueoidea Thomson, 1927
      |  |-- Laqueidae Thomson, 1927
      |  |-- Frenulinidae Hatai, 1938
      |  `-- Terebrataliidae Richardson, 1975
      |--o Megathyridoidea Dall, 1870
      |  |-- Megathyrididae Dall, 1870
      |  `-- Thaumatosiidae Cooper, 1973
      |--o Bouchardioidea Allan, 1940
      |  `-- Bouchardiidae Allan, 1940
      |--o Platidioidea Dall, 1870
      |  `-- Platidiidae Dall, 1870
      |--o Kraussinoidea Dall, 1870
      |  `-- Kraussinidae Dall, 1870
      `--o Terebratelloidea King, 1850 [Terebratellacea]
         |-- Dallinidae Beecher, 1893
         |-- Terebratellidae King, 1850
         `-- †Thaumatosiidae

Reference(s):