After Siveter, Briggs, Siveter, Sutton, Legg. & Joomun, 2014

<==o Aiolopoda Hou & Bergström, 1996 [incl. Arthropoda von Siebold, 1848][Panarthropoda] (water bears, velvet worms, anomalocarids and arthropods; karhukaiset, käsnäjalkaiset, anomalocaridit ja niveljalkaiset)
   |?- †Facivermis yunnanicus (transitional form between pripulid/palaeoscolecid worms and lobopods??)
   |?- †Mongolitubulus squamifer Missarzhevsky, 1977 [sclerites]
   |-- Tardigrada Spallanzani, 1777 (water bears; karhukaiset) [considered as Aschelmithes by Hou & Bergström (1997)]
   `==o Loboboda Snodgrass, 1938 [Onychophora sensu lato] [Microdictyoniida; Protonychophora Hutchinson, 1930] (lobopods, velvet worms; käsnäjalkaiset) [paraphyletic grade of earliest arthropods]
      |-- †Diania cactiformis Liu, Steiner, Dunlop, Keupp, Shu, Ou, Han, Zhang & Zhang, 2011
      `--+-- †Paucipodia inermis Chen, Zhou & Ramsköld, 1995
         `--+--o †Eoconchariidae Hou & Shu, 1987 [Eoconchariidae Shu & Chen, 1988; Microdictyonidae Chen, Hou & Lu, 1989]
            |  |?- †Fusuconcharium typicum Hao & Shu, 1987 [incl. Fusuconcharium minimum Hao & Shu, 1987] [sclerites]
            |  |?-o †Quadratapora Hao & Shu, 1987 [sclerites]
            |  |  |-- †Q. zhenbaensis Hao & Shu, 1987
            |  |  `-- †Q. tenuiporatum (Bengston, Matthews & Missarzhevsky, 1986) [Microdictyon tenuiporatum Bengston, Matthews & Missarzhevsky, 1986]
            |  `--o †Microdictyon Bengston, Matthews & Missarzhevsky in Missarzhevsky & Mambetov, 1981 [Eoconcharium]
            |     |-- †M. chinense (Hao & Shu, 1987) [Eoconcharium chinense Hao & Shu, 1987; Eoconcharium ovalum Hao & Shu, 1987; Eoconcharium spiniferum Hao & Shu, 1987; Eoconcharium rhomboidale Hao & Shu, 1987; Eoconcharium chinense Shu & Shen, 1988; Microdictyon anus Tong, 1989; Microdictyon chinense (Hao & Shu); Zhang & Aldridge, 2007]
            |     |-- †M. effusum  Bengston, Matthews & Missarzhevsky in Missarzhevsky & Mambetov, 1981
            |     |?- †M. rhomboidale  Bengston, Matthews & Missarzhevsky, 1986 [Eoconcharium rhomboidale Hao & Shu, 1987]
            |     |-- †M. robisoni
            |     |-- †M. sinicum (Chen, Hou & Lu, 1989)
            |     |-- †M. sphaeroides
            |     |?- †M. depressum Bengston, 1990
            |     `-- †M. jinshaense Zhang & Aldridge, 2007
            `--+-- †Cardiodictyon catenulum Hou, Ramsköld & Bergström, 1991 [Cardiodyctyidae Hou & Bergström, 1995]
               `--+--o †Hallucigenia Conway Morris, 1977 [†Hallucigena; †Hallucinogenia] [Hallucigeniidae Conway Morris, 1977]
                  |  |-- †H. sparsa Conway Morris, 1977 [M.Camb.]
                  |  |-- †H. fortis Hou & Bergström, 1995 [E.Camb.]
                  |  `-- †H. hongmeia Steiner, Hu, Liu & Keupp, 2012 [M.Camb.]
                  `--+--o Udeonychophora Poinar, 2000 [Onychophora sensu lato]
                     |  `==o “Ontonychophora” Poinar, 2000 [paraphyletic]
                     |     |?- †Orstenotubulus evamuellerae Maas, Mayer, Kristensen & Waloszek, 2007
                     |     |-- †Antennacanthopodia gracilis Ou, Liu, Shu, Han, Zhang, Wan & Lei, 2011
                     |     `--+--o †Helenodoridae Poinar, 2000
                     |        |  |-- †Helenodorus inopinata Thompson & Jones, 1980 [Carb. NAm.]
                     |        |  `--o †Ilyodes Scudder, 1890 [Carb. NAm.]
                     |        |     |-- †I. divisa Scudder, 1890
                     |        |     `?- †I. (Helenodorus) opinata Thompson & Jones 1980 [=? Helenodorus inopinata Thompson & Jones, 1980]
                     |        `--+-- †Succinipatopsis balticus Poinar, 2000 [L.Eoc. Eu.] [Succinipatopsidae Poinar, 2000]
                     |           |-- †Tertiapatus dominicanus Poinar, 2000 [Tert. Caribb.] [Tertiapatidae  Poinar, 2000]
                     |           `--o Onychophora Grube, 1853 [Euonychophora Hutchinson, 1930 sensu Poinar, 2000] (modern lobopods, velvet worms; nykykäsnäjalkaiset) [10 Recent genera?, 110 species? (90-140)]
                     |              |-- Peripatidae Evans, 1902 (South American velvet worms; eteläamerikan käsnäjalkaiset)
                     |              `-- Peripatopsidae Bouvier, 1907 (Australian and African velvet worms; Australian ja Afrikan käsnäjalkaiset)
                     `--+--+-- †Onychodictyon ferox Hou, Ramsköld & Bergström, 1991 [Paronychophora  Hou & Bergström, 1995: †Onychodyctyidae Hou & Bergström, 1995]
                        |  `--o †Luolishaniidae Hou & Bergström, 1995 [Archonychophora Hou & Bergström, 1995:]
                        |     |-- †Acinocricus stichus Conway Morris & Robison, 1988
                        |     |-- “Collins' monster” [Emu Bay Shale]
                        |     |-- “Collins' monster” [Burgess Shale]
                        |     |-- †Collinsium ciliosum Yang, Ortega-Hernández, Gerber, Butterfield, Hou, Lan & Zhang, 2015
                        |     `-- †Luolishania longicruris Hou & Chen, 1989
                        `--+-- †Ayshenia pedunculata Walcott, 1911 [Aysheaiidae Walcott 1911] [paraphyletic †Protonychophora Hutchinson, 1930]
                           `==o †Xenusiida Dzik & Krumbiegel, 1989 [paraphyletic †Protonychophora Hutchinson, 1930]
                              |-- †Siberion lenaicus Dzik, 2011 [Siberiida Dzik, 2011: Siberiidae Dzik, 2011]
                              `--+--o †Xenusiidae Dzik & Krumbiegel, 1989
                                 |  |-- †Xenusion auerswaldae Pompeckj, 1927
                                 |  `-- †Hadranax augustus Budd & Peel, 1998
                                 `--+--+-- †Jianshanopodia decora Liu, Shu, Han, Zhang & Zhang, 2006
                                    |  `--o †Megadictyon Luo & Hu, 1999
                                    |     |-- †M. haikouensis Luo & Hu, 1999
                                    |     `-- †M. cf. haikouensis Liu & Shu, 2007
                                    `--+?- †Miraluolishania haikouensis Liu & Shu, 2004
                                       |-- †Kerygmachela kierkegaardi Budd, 1993
                                       `--+-- †Pambdelurion whittingtoni Budd, 1997
                                          `--o Dinocarida Collins, 1996 sensu Vinther, Stein, Longrich & Harper, 2014
                                             |-- †Opabinia regalis Walcott, 1912 [Opabinida]
                                             `--+-- †Caryosyntrips serratus Daley & Budd, 2010; M.Camb. WNAm.
                                                |--o †Radiodonta Collins, 1996 sensu Vinther, Stein, Longrich & Harper, 2014
                                                |  `-- †Anomalocarida Vinther, Stein, Longrich & Harper, 2014 (anomalocarids; anomalocaridit)
                                                `-- Euarthropoda [Arthropoda sensu stricto] [Schizoramia sensu Hou & Bergström, 1997]

After Yang, Ortega-Hernández, Gerber, Butterfield, Hou, Lan & Zhang, 2015

<==o Pan-Arthropoda
   |--o Onychophora sensu lato
   |  |-- †Xenusion
   |  |-- †Diania
   |  `--+-- †Onychodictyon gracilis
   |     `--+-- †Paucipodia
   |        `--+-- †Microdictyon
   |           `--+-- †Cardiodictyon
   |              `--+--+-- †Hallucigenia hongmeia
   |                 |  `--o †Luolishaniidae
   |                 |     |-- †Acinocricus
   |                 |     |-- “Collins' monster” [Emu Bay Shale]
   |                 |     |-- “Collins' monster” [Burgess Shale]
   |                 |     |-- †Collinsium
   |                 |     `-- †Luolishania
   |                 `--+-- †Hallucigenia fortis
   |                    |-- †Hallucigenia sparsa
   |                    `--+-- †Orstenotubulus
   |                       `--+-- †Antennacanthopodia
   |                          `--o Onychophora sensu stricto
   |                             |-- †Tertiapatus
   |                             |-- †Ilyodes
   |                             |-- Plicatoperipatus
   |                             |-- Ooperipatellus
   |                             `-- Euperipatoides
   `--o Tactopoda
      |--o Tardigrada sensu lato
      |  |-- †Onychodictyon ferox
      |  `-- Tardigrada
      `--o Euarthropoda sensu lato
         |--+-- †Jianshanopodia
         |  `-- †Megadictyon
         `--+-- †Hadranax
            `--+-- †Kerygmachela
               `--o †Radiodonta
                  |-- †Pambdelurion
                  `--+-- †Anomalocarida
                     `--o Arthropoda
                        |-- †Opadinia
                        `--o Deuteropoda
                           `-- Euarthropoda sensu stricto?

After Clowes, 2002– ["Chris’s No-Frills Home Page"], Dzik, 2003, Zhang & Aldridge, 2007, and Liu, Shu, Han, Z. Zhang & X. Zhang, 2008

<==o Lobopodia
   `==o †Microdictyoniida
      |?- †Facivermis
      |--o †Archonychophora
      |  `--o †Luolishaniidae
      |     `-- †Luolishania
      |--o †Paronychophora
      |  `--o †Onychodyctyidae
      |     `-- †Onychodictyon
      |-- †Paucipodia
      |--+--o †Scheronychophora
      |  |  |--o †Cardiodyctyidae
      |  |  |  `-- †Cardiodictyon
      |  |  |--o †Hallucigeniidae
      |  |  |  `-- †Hallucigenia
      |  |  `-- †Eoconchariidae
      |  |     |-- †Fusuconcharium
      |  |     |-- †Quadratapora
      |  |     `-- †Microdictyon
      |  `--+--o †Xenusiida
      |     |  `==o †Protonychophora
      |     |     `--o †Xenusiidae
      |     |        |-- †Hadranax
      |     |        |-- †Jianshanopodia
      |     |        `-- †Xenusion
      |     |?- †Mongolitubulus
      |     `-- Tardigrada
      `--+--+?- †Kerygmachela
         |  |?- †Pambdelurion
         |  |?- †Miraluolishania
         |  |?- †Megadictyon
         |  `--+-- †Radiodonta
         |     `-- Euarthropoda
         `==o †Protonychophora
            |--o †Aysheaiidae
            |  `-- †Ayshenia
            `--o Udeonychophora
               `==o †Ontonychophora
                  |--o †Helenodoridae
                  |  `-- †Helenodorus
                  |--o †Tertiapatidae
                  |  `-- †Tertiapatus
                  |--o †Succinipatopsidae
                  |  `-- †Succinipatopsis
                  `--o Onychophora
                     |-- Peripatidae
                     `-- Peripatopsidae

Proposed classification of Poinar, 2000

<==o Lobopodia
   |-- Tardigrada
   `--o Onychophora
      |--o †Xenusia
      |  |--o †Archonychophora
      |  |  `-- †Luolishaniidae
      |  |--o †Protonychophora
      |  |  |-- †Aysheaiidae
      |  |  `-- †Xenusiidae
      |  |--o †Scheronychophora
      |  |  |-- †Eoconchariidae
      |  |  |-- †Hallucigeniidae
      |  |  `-- †Cardiodyctyidae
      |  `--o †Paronychophora
      |     `-- †Onychodyctyidae
      `--o Udeonychophora
         |--o †Ontonychophora
         |  |--o †Helenodoroidea
         |  |  `-- †Helenodoridae
         |  `--o †Tertiapatoidea
         |     |-- †Tertiapatidae
         |     `-- †Succinipatopsidae
         `--o Onychophora
            |-- Peripatidae
            `-- Peripatopsidae

Reference(s):