After Parker, 1982, Blake, 1987 (from Knott, 2004), “the CAS Echinoderm webpage”, 1998, and Shackleton, 2005, with species from the “Paleobiology Database” and the “World Register of Marine Species”:

<==o Asteroidea de Blainville, 1830 (starfishes; meritähdet)
   |--o †Petraster Billings, 1858
   |  `-- †P. kinahani (Baily, 1878)
   `--+--o †Promopalaeaster Schuchert, 1914 [Promopalaeasteridae Schuchert, 1914]
      |  |-- †P. elizae (Spencer, 1914)
      |  |-- †P. wilsoni Schuchert, 1915
      |  `-- †P. wykoffi Miller & Gurley
      `--+--+-- †Stibaraster ratcliffei Blake & Guensburg, 1993
         |  `-- †Palasteriscidae Gregory, 1900 [incl. Urasterellidae Schuchert, 1914]
         `--+--+-- †Hudsonasteridae Schuchert, 1914
            |  `--o †Schuchertia Gregory, 1899
            |     |-- †S. junori
            |     |-- †S. laxata
            |     |-- †S. macrarta
            |     |-- †S. ordinaria
            |     |-- †S. stellata (Billings, 1857) [Palasterina stellata]
            |     `-- †S. wenlocki
            `?-o Ambuloasteroidea Blake & Hagdorn, 2003
               |--o †Calliasterellidae Schöndorf, 1910
               |  |--o †Calliasterella Schuchert, 1914
               |  |  |-- †C. americana Kesling & Strimple, 1966
               |  |  `-- †C. mira (Trautschold, 1879)
               |  |-- †Silicaster esseri Kesling, 1969
               |  `--o †Arthrasterinae Spencer, 1918
               |     `--o †Arthraster Forbes, 1848
               |        |-- †A. cristatus Spencer, 1907
               |        |-- †A. dixoni Forbes, 1848
               |        `-- †A. spenceri Mercier, 1935
               `--+-- †Compasteridae
                  `--o Neoasteroidea Gale, 1987
                     |--o Forcipulatacea Blake, 1987
                     |  |--o Paulasterias Mah, Linse, Copley, Marsh, Rogers, Clague & Foltz, 2015 [Paulasteriidae Mah, Linse, Copley, Marsh, Rogers, Clague & Foltz, 2015]
                     |  |  |-- P. mcclaini Mah, Linse, Copley, Marsh, Rogers, Clague & Foltz, 2015
                     |  |  `-- P. tyleri Mah, Linse, Copley, Marsh, Rogers, Clague & Foltz, 2015
                     |  |--o †Trichasteropsida Blake, 1987
                     |  |  |?- †Terminaster Hess, 1974 [treated as Zoroasterid elsewhere]
                     |  |  `--o †Trichasteropsiidae Blake & Hagdorn 2003
                     |  |     |-- †Berckhemeraster charistikos Blake & Hagdorn, 2003
                     |  |     `--o †Trichasteropsis Eck, 1879
                     |  |        |-- †T. bielertorum Blake & Hagdorn, 2003
                     |  |        |-- †T. senfti Eck, 1879
                     |  |        `-- †T. weissmanni (von Münster, 1843)
                     |  `==o Forcipulatida Perrier, 1884
                     |     |== Pedicellasteridae Perrier, 1884
                     |     |?- Pycnopodiidae Fisher, 1928
                     |     |-- Zoroasteridae Sladen, 1889
                     |     `--+--+--+--o Ampheraster -group [paraphyletic “Pedicellasteridae”]
                     |        |  |  |  `-- Ampheraster Fisher, 1923
                     |        |  |  `-- Stichasteridae Perrier 1885 [Neomorphasteridae Fisher, 1923]
                     |        |  `--+-- Heliasteridae Viguier, 1878 [Labidiasteridae Verrill, 1914]
                     |        |     `-- “6-rayed pedicellasterids”
                     |        `--+-- Asteriidae Gray, 1840
                     |           `--o Brisingida Fisher, 1928 [Euclasteroidea Tortonese, 1958]
                     |              |-- Brisingidae G.O. Sars, 1875
                     |              `-- Freyellidae Downey, 1986
                     `--+--o Valvatacea
                        |  |--o Paxillosida [incl. Platyasterida]
                        |  |  |?- Platysterias latiradiata [Platyasterida: Platysteridae]
                        |  |  |-- Astropectinidae [25 genera]
                        |  |  |--o Ctenodiscus [Ctenodiscididae]
                        |  |  |  |-- C. australis
                        |  |  |  |-- C. caudatus
                        |  |  |  |-- C. crispinus
                        |  |  |  |-- C. orientalis
                        |  |  |  `-- C. procurator
                        |  |  |-- Goniopectinidae [3 genera]
                        |  |  |--o Luidia [Luidiidae] [Platyasterida]
                        |  |  |  `-- L. superba
                        |  |  |-- Radiaster [4 species] [Radiasteridae] [has been treated as a Valvatid (Parker, 1982)]
                        |  |  `-- Porcellanasteridae [11 genera]
                        |  `--+--o Notomyotida [Paxillosida in partim]
                        |     |  `-- Benthopectinidae [12 genera]
                        |     `-- Valvatida [incl. Spinulosida in partim]
                        `--o Spinulosacea
                           |--o Spinulosida [incl.? Concentricycloidea]
                           |  |?- Pythonasteridae [not recognized by CAS (1998)]
                           |  |?- Valvasteridae [not recognized by CAS (1998)]
                           |  |?- Metrodiridae [not recognized by CAS (1998)]
                           |  `--o Echinasteridae
                           |     |-- Henricia
                           |     `-- Echinaster
                           `--o Velatida [incl. Spinulosida in partim]
                              |-- Caymanostellidae
                              |-- Korethrasteridae
                              |--o Myxasteridae
                              |  `-- Myxaster
                              |--o Pterasteridae
                              |  |-- Pteraster
                              |  |-- Hymenodiscus
                              |  |-- Diplopteraster
                              |  `-- Retaster
                              `--o Solasteridae
                                 |-- Lophaster
                                 |-- Heterozonias
                                 |-- Solaster
                                 `-- Seriaster

After Mah & Blake, 2012

<==o Asteroidea
   `--o Neoasteroidea
      |--o Velatida
      |  |-- Korethrasteridae
      |  `--+== “Pterasteridae”
      |     `-- Myxasteridae
      |-- Xyloplax [Xyloplacidae]
      |--o Forcipulatacea
      |  |-- †Trichasteropsida
      |  `==o Forcipulatida
      |     |?- Labidiasteridae
      |     |?- Neomorphasteridae
      |     |== “Pedicellasteridae”
      |     |-- Zoroasteridae
      |     `--+--+--+-- Stichasteridae
      |        |  |  `-- Ampheraster -group
      |        |  `--+-- Heliasteridae
      |        |     `-- “6-rayed pedicellasterids”
      |        `--+-- Asteriidae
      |           `--o Brisingida
      |              |-- Brisingidae
      |              `-- Freyellidae
      |--  Spinulosida: Echinasteridae
      `==o Valvatida
         |--+== “Ophidiasteridae”
         |  `-- Mithrodiidae
         |-- Velatida: Caymanostellidae
         `--+-- Poraniidae
            `--+--o Paxillosida
               |  |-- Porcellanasteridae
               |  |--+== “Astropectinidae”
               |  |  `-- Luidiidae
               |  `--+--+-- Ctenodiscididae
               |     |  `-- Goniopectinidae
               |     `--+-- Benthopectinidae
               |        `-- Pseudarchasteridae
               |-- Radiasteridae
               `--+--+-- Odontasteridae
                  |  `-- Chaetasteridae
                  `--+-- Podosphaerasteridae
                     |-- Asterodiscidae
                     |-- Goniasteridae
                     `--+--+-- Oreasteridae
                        |  |-- Asteropsidae
                        |  |-- Archasteridae
                        |  `-- Acanthasteridae
                        `==o “Asterinidae”
                           |--+-- Solasteridae
                           |  `-- “Asterinidae”
                           `--+-- Ganerriidae
                              `-- “Asterinidae”

Reference(s):

  • Mah, C. L. & Blake, D. B., 2012: Global Diversity and Phylogeny of the Asteroidea (Echinodermata).
    –Plos One: Vol. 7, #4, e35644 (1-22) [doi: 10.1371/journal.pone.0035644]

Reference(s):