After Parker, 1982, “The Tree of Life”, and Grimaldi & Engel, 2005, with some Recent species from Wikipedia

<==o Mecoptera (scorpionflies, hangingflies)
   |?- †Mesopsychidae
   |?-o †Dinopanorpidae Carpenter, 1972
   |  |-- †Dinopanorpa megarche Cockerell, 1924 [Orthophlebia megarche Martynova, 1962]
   |  `-- †Dinokanaga
   |     |-- †D. andersoni
   |     |-- †D. dowsonae
   |     |-- †D. hillsi
   |     |-- †D. sternbergi
   |     |-- †D. webbi
   |     `-- †D. wilsoni
   |--+--o Nannochorista Tillyard, 1917 [incl. Microchorista Byers, 1974] [Nannochoristidae]
   |  |  |-- N. philpotti Tillyard, 1917 [Choristella philpotti Tillyard, 1917; Microchorista philpotti (Tillyard) Byers, 1974]
   |  |  |-- N. andina Byers, 1989
   |  |  |--o N. dipteroides Tillyard, 1917
   |  |  |  |-- N. d. dipteroides Tillyard, 1917
   |  |  |  `-- N. d. eboraca Tillyard, 1917
   |  |  |-- N. edwardsi Kimmins, 1929
   |  |  |-- N. holostigma Tillyard, 1917
   |  |  |-- N. maculipennis Tillyard, 1917
   |  |  `-- N. neotropica Navás, 1928
   |  `--+--o Boreidae (snow fleas)
   |     |  |?-o †Palaeoboreus U.Jur.-L.Cret. EAs.
   |     |  |  |-- †P.zherikhini
   |     |  |  `-- †P. baissicus
   |     |  |-- Boreus Latreille, 1816
   |     |  |-- Caurinus dectes Russell, 1979
   |     |  `--o Hesperoboreus Penny, 1977
   |     |     |-- H. brevicaudus (Byers, 1961 [Boreus brevicaudus Byers, 1961]
   |     |     `-- H. notoperates (Cooper, 1972) [Boreus notoperates Cooper, 1972]
   |     `--+--o †Aneuretopsychidae
   |        |  `-- †Aneuretopsyche
   |        `--o Siphonaptera sensu lato (fleas; kirput)
   |           |?- †Niwratia elongata L.Cret. Aust.
   |           |-- †Tarwinia australis L.Cret. Aust.
   |           |?- †Saurophthirus longipes L.Cret. NAs.
   |           `-- Siphonaptera (fleas; kirput)
   `--+--o Meropeidae
      |  |-- Austromerope poultoni Killington, 1933
      |  |-- †Boreomerope antiqua Novokschonov, 1995
      |  |-- Merope tuber Newman, 1838
      |  `-- †Thaumatomerope Rasnitsyn, 1974
      `--+--o Eomeropidae
         |  |-- †Eomerope Pal.-Mioc. EEu. NAm.
         |  `-- Notiothauma reedi MacLachlan, 1877
         `==o †Orthophlebiidae
            |--+--o Apteropanorpa Carpenter, 1941 [Apteropanorpidae]
            |  |  |-- A. evansi
            |  |  |-- A. hartzi
            |  |  |-- A. tasmanica
            |  |  `-- A. warra
            |  `--o Choristidae Esben-Petersen, 1915
            |     |--o Chorista Klug, 1838
            |     |  |-- C. australis Klug, 1838
            |     |  `-- C. luteola (Westwood, 1846)
            |     |--o Meridiochorista Lambkin, 1996
            |     |  |-- M. insolita (Riek, 1973)
            |     |  `-- M. ruficeps (Newman, 1850)
            |     `--o Taeniochorista Esben-Petersen, 1914
            |        |-- T. bifurcata Riek, 1973
            |        |-- T. nigrita Riek, 1973
            |        |-- T. pallida Esben-Petersen, 1914
            |        `-- T. similis Riek, 1973
            `--+-- †Holcorpa maculosa U.Eoc. NAm.
               `--+-- Panorpidae (common scorpionflies)
                  `--+--o Bittacidae Handlirsch, 1906
                     |  |-- Anabittacus Kimmins, 1929
                     |  |-- Anomalobittacus Kimmins, 1928
                     |  |-- Apterobittacus MacLachlan, 1893
                     |  |-- Austrobittacus Riek, 1954
                     |  |-- Bittacus Latreille, 1805
                     |  |-- Edriobittacus Byers, 1974
                     |  |-- †Formosibittacus Li, Ren & Shih, 2008; M.Jur. EAs.
                     |  |-- Harpobittacus Gerstaecker, 1885
                     |  |-- Hylobittacus Byers, 1979
                     |  |-- Issikiella Byers, 1972
                     |  |-- †Jurahylobittacus Li, Ren & Shih, 2008; M.Jur. EAs.
                     |  |-- Kalobittacus Esben-Petersen, 1914
                     |  |-- †Mongolbittacus  Petrulevicius, Huang & Ren, 2007; M.Jur. EAs.
                     |  |-- Nannobittacus Esben-Petersen, 1927
                     |  |-- Neobittacus Esben-Petersen, 1914
                     |  |-- Orobittacus Villegas & Byers, 1982
                     |  |-- Pazius Navás, 1913
                     |  |-- Symbittacus Byers, 1986
                     |  `-- Tytthobittacus Smithers, 1973
                     `--o Panorpodidae
                        |-- Brachypanorpa Carpenter, 1931
                        `--o Panorpodes MacLachlan, 1875
                           |-- P. brachypodus Tan & Hua, 2008
                           |-- P. brevicaudatus (Hua, 1998)
                           |-- P. colei Byers, 2005
                           |-- P. komaensis Okamoto, 1925
                           |-- P. kuandianensis Zhong, Zhang & Hua, 2011
                           |-- P. maculata Miyamoto, 1984
                           |-- P. paradoxa MacLachlan, 1875
                           `-- P. pulchra Issiki, 1927

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