After Kayal, Roure, Philippe, Collins & Lavrov, 2013

<==o Cnidaria Hatschek, 1888 [Cridaria (lapsus calami)] (polttiaiseläimet)
   |--+--o †Trilobozoa
   |  |  |-- †Albumares
   |  |  |-- †Anfesta
   |  |  |-- †Hallidaya
   |  |  |-- †Tribrachidium
   |  |  `?- †Rugoconides
   |  `--o †Anabaritida
   |     |-- †Angustiochreidae
   |     `--o †Anabaritidae Missarzhevsky, 1974 [non Glaessner, 1979]
   |        `-- †Anabarites
   `--+?- †Xianguangiida
      |?- †Echmatocriniida
      `--+--o Hexacorallia Haeckel, 1896 [Zoantharia de Blainville, 1830] (sea anemones and stone corals)
         |  |?- †Kilbuchophyllia [Kilbuchophyllida]
         |  |?- †Tabuloconida
         |  |?- †Cothonion [Cothoniida]
         |  |?- †Tabulata (tabulates; kennokorallit)
         |  |?- †Heliolitida [Tabulata in partim]
         |  |?- †Heterocorallia
         |  |?- †Rugosa (Rugosa corals; sarvikorallit)
         |  |-- Ceriantharia [Ceriantipatharia Van Beneden, 1898 in partim] (Tube-dwelling anemones)
         |  `--+-- Zoanthidea [Zoanthiniaria; Zoantharia de Blainville, 1830] (zoanthids; kukkakorallit)
         |     `--+-- Actiniaria (sea anemones; merivuokot)
         |        `--+-- Antipatharia Milne-Edwards & Haime, 1857 [Ceriantipatharia Van Beneden, 1898 in partim] (black corals; mustakorallit)
         |           `--+--  Corallimorpharia Stephenson, 1937 (mushroom anemones; sienivuokot)
         |              `-- Scleractinia Bourne, 1900 [Madreporaria] (stone corals; kivikorallit)
         `--+--o Octocorallia Haeckel, 1866 (soft corals, feather corals; sulkakorallit)
            |  |-- Alcyonaria Lamouroux, 1894 (soft corals; pehmytkorallit)
            |  |--o Helioporacea Moseley, 1876
            |  |  |--o Helioporidae
            |  |  |  `-- Heliopora coerulea
            |  |  `--o Lithotelestidae
            |  |     `--o Epiphaxum
            |  |        |-- E. auloporoides
            |  |        |-- E. breve
            |  |        |-- E. micropora
            |  |        `-- E. septiferum
            |  `-- Pennatulacea Verrill, 1865 (sea pens; merisulat)
            `--o Medusozoa Petersen, 1979
               |--+--o Discomedusae [paraphyletic Scyphozoa Goette, 1887] (liuskameduusat)
               |  |  |-- Rhizostomeae
               |  |  `-- Semaeostomeae
               |  `--o Hydrozoa Owen, 1843 [incl. Chondrophora Totton, 1954] (polyyppieläimet)
               |     |-- Limnomedusae
               |     `--+== Filifera
               |        `--+-- Leptothecata
               |           `--+-- Capitata Kühn, 1913
               |              `-- Aplanulata
               `--+--+?- †Conulariina Miller & Gurley, 1896 [Conulata Moore & Harrington, 1956; Conulariida Miller & Gurley, 1896 sensu Moore & Harrington, 1956] (conulariids; kartiomeduusat; konulaarit)
                  |  `-- Coronatae Vanhöffen, 1892 [paraphyletic Scyphozoa Goette, 1887]
                  `--+-- Staurozoa (stalked jellyfishes)
                     `-- Cubozoa Werner, 1975 (box jellyfishes; kuutiomeduusat)

After Conway Morris, 1993, with Recent families from Parker, 1982

<==o Cnidaria Hatschek, 1888 [Cridaria (lapsus calami)] (polttiaiseläimet)
   |--+--o †Trilobozoa
   |  |  |-- †Albumares
   |  |  |-- †Anfesta
   |  |  |-- †Hallidaya
   |  |  |-- †Tribrachidium
   |  |  `?- †Rugoconides
   |  `--o †Anabaritida
   |     |-- †Angustiochreidae
   |     `--o †Anabaritidae Missarzhevsky, 1974 [non Glaessner, 1979]
   |        `-- †Anabarites
   `--+--o Hydrozoa sensu Parker, 1980
      |  |?- †Conchopeltis Walcott, 1876 [Conchopeltina Moore & Harrington, 1956b: Conchopeltidae]
      |  |-- Hydrozoa Owen, 1843 (polyyppieläimet)
      |  `--o Chondrophora (uimapolyypit)
      |     |--o Porpitidae Goldfuss, 1818
      |     |  |-- Porpema prunella (Haeckel, 1888)
      |     |  `-- Porpita porpita (Linnaeus, 1758) Lesson, 1826 [Porpita pacifica Lesson, 1826; Porpita linneana Lesson, 1843 (nomen dubium); Porpita umbela Müller, 1776 (nomen dubium)] (Portugese Man of War)
      |     `--o Velellidae
      |        `-- Velella velella (Linnaeus, 1758) Lamarck, 1801 [Velella spirans (Forskal); Velella lata Chamisso & Eysenhardt, 1821 (nomen dubium)]
      `--+--+-- †Fasciculida
         |  `-- Ctenophora [usually treated as independent phylum, closer to Bilateralia than to Cnidaria] (kampamaneetit; comb jellies)
         `--+--o Medusozoa Petersen, 1979
            |  |-- Staurozoa (stalked jellyfishes)
            |  `--+-- Cubozoa Werner, 1975 (box jellyfishes; kuutiomeduusat)
            |     `-- Scyphozoa Goette, 1887 [incl. †Conulata Moore & Harrington, 1956a] (meduusat, liuskameduusat)
            `--o ?Anthozoa sensu Parker, 1980
               |-- †Xianguangiida
               |?- Alcyonaria
               `--+-- Pennatulacea (merisulat)
                  `--+-- †Echmatocriniida
                     `-- Anthozoa (korallieläimet)

Reference(s):