After Chiappe, Ji, Ji & Norell, 1999, Clarke & Norell, 2002, Chiappe, 2002b, and Zhou & Zhang, 2005

<==o Ornithuromorpha Haeckel, 1866 sensu Chiappe et al., 1999 [Ornithurae Haeckel, 1866 non Chiappe, 1991 sensu Feduccia 1997, Zhou & Zhang, 2005; Euornithes sensu Sereno, 2005]
   |?- †Chaoyangia beishanensis Hou & Zhang, 1993 [Chaoyangiaformes: Chaoyangidae:]
   |?- †Songlingornis linghensis Hou, 1996 [Chaoyangiaformes: Songlingornithidae:]
   |-- †Hongshanornis longicresta Zhou & Zhang, 2005
   `--+--+-- †Liaoningornis longiditrus Hou, 1997 [Liaoningornithiformes: Liaoningornithidae:]
      |  `--+-- †Yixianornis grabaui Zhou & Zhang, 2001  [Chaoyangiaformes:]
      |     `--o †Yanornis Zhou & Zhang, 2001 [Yanornithiformes: Yanornithidae:]
      |        |-- †Y. martini Zhou & Zhang, 2001
      |        `-- †Y. chaoyangensis
      `--+?- †Gargantuavis philoinos Buffetaut & Le Loeuff, 1998
         |-- †Patagopteryx deferrariisi Alvarenga & Bonaparte, 1992 [Patagopterygiformes]
         |-- †Vorona berivotrensis Forster, Chiappe, Krause, & Sampson, 1996 sensu Clarke & Norell, 2002 and Chiappe, 2002
         `--o Ornithurae Haeckel, 1866 non Chiappe, 1991 sensu Clarke & Norell, 2002
            |-- †Apsaravis ukhaana Norell & Clarke, 2001
            `--o Ornithurae Haeckel, 1866 non Chiappe, 1991 sensu Padian & Chiappe 1998
               |?- †Neogaeornis wetzeli Lambrecht, 1929
               |-- †Hesperornithiformes Fürbringer, 1888 [Odontornithes Marsh, 1880, Odontognathe Stejneger, 1885]
               `--+?- †Gansus yumensis Hou & Liu, 1984 [Gansuiformes]
                  `--o Carinatae
                     |?- †Carinatae genera et species indet. [NHMM/RD 271] ["basal carinate from Belgium"]
                     |--o †Ichthyornithiformes [Ambiortimorphae sensu Feduccia, 1996]
                     |  |?- †Holbotia ponomarenkoi Kurochkin, 1982 [nomen nudum]
                     |  |?- †Apatornis celer (Marsh, 1873) [Ichthyornis celer Marsh, 1873] [Apatornithiformes]
                     |  |--o †Ambiortidae Kurochkin, 1982
                     |  |  |-- †Ambiortus dementjevi Kurochkin, 1982 [Ambiortiformes Kurochkin, 1982]
                     |  |  `-- †Otogornis genghisi Hou, 1994
                     |  `--o †Ichthyornis Marsh, 1880 [1872??] [Colonosaurus Marsh, 1872; Plegadornis Wetmore, 1962; Angelinornis Kashin, 1972] [Ichthyornithiformes]
                     |     |-- †I. sp.A [Tokaryk, Cumbaa & Storer, 1997] [Late Cretaceous, Pasquia Hills, Saskatchevan]
                     |     |-- †I. sp.B [Tokaryk, Cumbaa & Storer, 1997] [Late Cretaceous, Pasquia Hills, Saskatchevan]
                     |     |-- †I. dispar Marsh, 1880 [1872??] [I. victor]
                     |     `-- †I. antecessor Marsh, 1880 [1872??]
                     `--+-- †Limenavis patagonica Clarke & Chiappe, 2001
                        |?- †Piksi barbarulna Varricchio, 2002
                        `-- Neornithes Gadow, 1893 [Aves sensu stricto (Gauthier 1986)] (modern birds; nykylinnut)

Ornithuromorpha incertae sedis:

LimnornithiformesEurolimnornithidaeEurolimnornis Kessler & Jurczak, 1986 [Limnornis Kessler & Jurczak, 1984, non Limnornis Gould, 1839]

    †PalaeocursornithiformesCursornithidaePalaeocursornis Kessler & Jurczak, 1986 [nomen dubium]

Note:

Verricchio's (2002) tentative analysis places Piksi barbarulna close to galliform-tinamiforms, thus I place it as a tentative sistergroup to Neornithes. Current phylogeny and composition of Ornithuromorpha is also tentative. This is mainly caused by the fragmentary and poor quality of their fossils. One can say that many of these species are based such a fossils that they are practically nomina dubina -forms

Reference(s):