After Voss, Gardner & Jansa, 2004 [fig. 3], and Voss, Lunde & Jansa, 2005 [fig. 6]

<==o Didelphidae Gray, 1821 [Didelphinae Gray, 1821 sensu McKenna & Bell, 1997] (opossums; opossumit)
   |--+--+-- Marmosa murina (Linnaeus, 1758) (hiiriopossumi)
   |  |  `--+-- Marmosa lepida (little rufous mouse opossum)
   |  |     `--+-- Marmosa rubra (red mouse opossum)
   |  |        |-- Micoureus demerarae (woolly mouse opossum)
   |  |        |-- Micoureus paraguayanus (Oken, 1816) [Didelphis paraguayensis Oken, 1816]
   |  |        |-- Micoureus regina (baretailed woolly mouse opossum)
   |  |        `--+-- Marmosa robinsoni (robinson's mouse opossum)
   |  |           `-- Marmosa mexicana Merriam, 1897 (mexican mouse opossum)
   |  `--+-- Tlacuatzin canescens [Marmosa canescens] (grayish mouse opossum)
   |     `--+--o Cryptonanus Voss, Lunde & Jansa, 2005 [taxonomic history]
   |        |  |-- C. agricolai (Moojen, 1943) [taxonomic history] (patagonianpussirotta)
   |        |  |-- C. chacoensis (Tate, 1931) [taxonomic history]
   |        |  |-- C. guahybae (Tate, 1931) [taxonomic history]
   |        |  |-- C. ignitus (Díaz, Flores & Barquez, 2002)
   |        |  `-- C. unduaviensis (Tate, 1931) [taxonomic history]
   |        `--+--o Gracilinanus Gardner & Creighton, 1989 [Grymaeomys Burminster, 1854, in partim]
   |           |  |?- G. blaseri (Miranda-Ribeiro, 1936) [Marmosa blaseri Miranda-Ribeiro, 1936]
   |           |  |?- G. herhardti (Miranda-Ribeiro, 1936) [Marmosa  herhardti Miranda-Ribeiro, 1936]
   |           |  |?- G. rondoni (Miranda-Ribeiro, 1936) [Thylamys rondoni Miranda-Ribeiro, 1936]
   |           |  |-- G. aceramarcae [Grymaeomys aceramarcea] (bolivian gracile opossum)
   |           |  |-- G. agilis (Burmeister, 1854) [Marmosa agilis Burmeister, 1854; Grymaeomys agilis Burmeister] [incl. G. beatrix; G. buenavistae; G. peruana] (agile opossum)
   |           |  |-- G. dryas [Grymaeomys dryas] (woodsprite gracile opossum)
   |           |  |-- G. emiliae (Thomas, 1909) [Thylamys emiliae (Thomas, 1909); ?Monodelphis emiliae] [incl. G. longicaudus] (emilia's gracile opossum)
   |           |  |-- G. marica [incl. G. perijae Hershkovitz, 1992] (northern gracile opossum)
   |           |  `-- G. microtarsus [Grymaeomys microtarsus]
   |           `--+-- Chacodelphys formosa (Shamel, 1930) Voss, Gardner & Jansa, 2004 [taxonomic history]
   |              `--+-- Thylamys macrurus (paraguayan fat-tailed mouse opossum)
   |                 `--+-- Thylamys pusillus Desmarest, 1804 [non Grymaeomys pusillus Winge, 1893] (common fat-tailed opossum)
   |                    `--+-- Thylamys venustus
   |                       `--+-- Lestodelphys halli Tate, 1934
   |                          `-- Thylamys pallidior (whitebellied fat-tailed mouse opossum)
   `--+--o Marmosops Matschie, 1916
      |  |--+-- M. pinheiroi
      |  |  `--+-- M. parvidens (delicate slender mouse opossum)
      |  |     `-- M. pakaraimae Voss, Lim, Díaz-Nieto, & Jansa, 2013
      |  `--+-- M. impavidus (tschudi's slender mouse opossum)
      |     `--+-- M. noctivagus (whitebellied slender mouse opossum)
      |        `-- M. incanus (gray slender mouse opossum)
      `--+-- Metachirus nudicaudatus (Geoffroy, 1803) Burmeister, 1854 [Metachirinae Reig, Kirsch & Marshall, 1985 sensu Hershkovitz, 1992; Didelphidae: Didelphinae: Metachirini Reig, Kirsch & Marshall, 1985 sensu McKenna & Bell, 1997] (brown foureyed opossum)
         `--+--o Monodelphis Burnett, 1830 [taxonomic history] U. Mioc. R. SA [17]
            |  |-- M. theresa (southern three-striped opossum)
            |  `--+-- M. adusta (andean short-tailed opossum)
            |     `--+-- M. emiliae (amazonian short-tailed opossum)
            |        `-- M. brevicaudata (northern redsided opossum)
            `--o Didelphinae Grey, 1821
               |-- Chironectes minimus Illeger, 1811 [Memina Fischer de Waldheim, 1813; Cheironectes Gray, 1821; Gamba] (pussisaukko, yapok)
               `--+-- Lutreolina crassicaudata Thomas, 1910 [Peramys Matschie, 1916] (paksuhäntäopossumi)
                  `--+--o Philander Tiedemann, 1808 [Metacheirops Matschie, 1916; Holothylax Cabrera, 1919; Metacherius Sanderson, 1949]
                     |  |-- P. frenata
                     |  |-- P. mcilhennyi [P. andersoni?] (mchillhennynopossumi)
                     |  `-- P. opossum [?Metacheirops Matschie, 1916; †P. entrer rianus Ameghino, 1899] (philanderinopossumi)
                     `--o Didelphis Linnaeus, 1758 [Synonyms] (opossumit)?
                        |-- D. marsupialis Linneus, 1758 (isokorvaopossumi)
                        `--+-- D. albiventris (valkovatsaopossumi)
                           `-- D. virginiana Kerr, 1792 [?D. marsupialis virginiana] (virginianopossumi)

Didelphidae not treated by Voss et al. 2004:

    Didelphidae Gray, 1821 
        †Incadelphys antiquus Marshall & de Muizon, 1988
        †Mizquedelphys pilpinensis Marshall & de Muizon, 1988
        †Marmosopsis juradoi Paula Couto, 1962
        †Itaboraidelphys camposi Marshall & de Muizon, 1984
        †Coona Simpson, 1938
        Monodelphinae Talice, de Mosera & Machado, 1960 sensu Hershkovitz, 1992 [Didelphidae: Didelphinae: Monodelphini Talice, de Mosera & Machado, 1960 sensu McKenna & Bell, 1997]
            Hyladelphys
                H. kalinowskii (Hershkovitz, 1992) [Gracilinanus kalinowskii Hershkovitz, 1992]
            Marmosa Gray, 1821 [taxonomic history] (“hiiriopossumit”)? [9 sp.]
                (Stegomarmosa) andersoni (anderson's mouse opossum)
                (Marmosa) Gray, 1821
                    M. (M.) tyleriana (tyler's mouse opossum)
                    M. (M.) quichua
                    M. (M.) xerophila (pale mouse opossum)
            Marmosops Matschie, 1916
                M. noctivaga
                M. yungasensis
                M. leucastra
                M. ocellata
                M. incana
                M. scapulata
                M. invicta
                M. parvidens
                M. fuscata
                M. cracens (narrowheaded slender mouse opossum)
                M. impavida
                M. dorothea (dorothy's slender mouse opossum)
                M. fuscatus (dusky slender mouse opossum)
                M. handleyi (handley's slender mouse opossum)
                M. invictus (panama's slender mouse opossum)
            Micoureus Lesson, 1842 [Micoures] [10 sp.]
                M. cinerea [?Marmosa cinerea (Temminck, 1843)]
                M. alstoni (alston's woolly mouse opossum)
                M. domina
                M. constantiae (whitebellied woolly mouse opossum)
                M. mapiriensis
                M. rapposa
                M. germana
                M. phaea
            Monodelphis Burnett, 1830 [taxonomic history] U. Mioc. R. SA [17]
                (Monodelphis) Burnett, 1830 [13]
                    M. (M.) orinoci
                    M. (M.) osgoodi (highland short-tailed opossum)
                    M. (M.) kunsi (kunsinpäästäisopossumi)
                    M. (M.) domestica (kotipäästäisopossumi)
                    M. (M.) maraxina (marajo's short-tailed opossum)
                    M. (M.) americana (northern three-striped opossum)
                    M. (M.) sorex (southern red-sided opossum)
                    M. (M.) iheringi (lyhythäntäpäästäisopossumi)
                    M. (M.) unistriata (single-striped opossum)
                (Minuania) Cabrera, 1919 [4]
                    M. (M.) rubida (faint-striped opossum)
                    M. (M.) scalops (longsnouted opossum)
                    M. (M.) dimidiata (yellowsided opossum)
                    M. (M.) fosteri
            Thylamys Grey, 1843 [incl. Lestodelphys?] [10]
                T. elegans (elegant fat-tailed mouse opossum)
                T. grisea
                T. tatei
                T. velutina (dwarf fat-tailed mouse opossum)
                T. karimiiThylatheridium Reig, 1952
                †T. cristatum Reig, 1952
                †T. dolgopolae Reig, 1952
                †T. hudsoni Goin & Montalvo, 1988
        Didelphinae Grey, 1821 (opossumit)
            †Hyperdidelphys Ameghino, 1904 [Synonyms]
            †Thylophorops Reig, 1952
            Didelphis ?aurita (brazilian common opossum)
        †Eobrasiliinae Marshall, in Archer, 1987
            †Tiulordia florensi Marshall & de Muizon, 1988
            †Eobrasilia coutoi Simpson, 1947
            †Gaylordia Paula Couto, 1952 [Xenodelphis Paula Couto, 1962]
                †G. macrocynodonta Paula Couto, 1952
                †G. doelloi (Paula Couto, 1952) [†Xenodelphis doelloi (Paula Couto, 1952) Paula Couto, 1962; incl. †G. mendesi Paula Couto, 1970]
            †Didelphopsis cabrerai Paula Couto, 1952
        Caluromyinae Kirsch & Reig, in Kirsch, 1977 sensu McKenna & Bell, 1997 [Caluromyidae Kirsch & Reig, in Kirsch, 1977 sensu Hershkovitz, 1992] (villakarvaopossumit)
            †Pachybiotherium Ameghino, 1902 [a microbiotheriid? sensu Goin et al., 2010]
                †P. acclinum Ameghino, 1902
                †P. minor Goin, 1997
                †P. illuminatum Goin, Tejedor, Abello & Martin, 2010
            Caluromys Allen, J. A., 1900 [Mallodelphys]
                C. laniger (Desmarest, 1870)
                C. derbianus (derby's pale-eared woolly opossum)
                C. lanatus (browneared woolly opossum)
                C. philander (Linnaeus, 1758) (philanderinvillapussirotta)
            Caluromysiops irrupta Sanborn, 1951 (mustahartiaopossumi)
            Glironia Thomas, 1912
                G. aequatorialis Anthony, 1926
                G. venusta Thomas, 1912 (sulkahäntäopossumi)


Reference(s):

 

Special thanks to:

Jos H. M. Dols, for gathering additional information and missing species.