Emery, 1924f: 347, 350 (Acromyrmex, Acromyrmex (Moellerius)); Smith, 1951c: 831 (North America); Kempf, 1972b: 10 (Neotropical); Alayo, 1974: 42 (Cuba); Smith, 1979: 1412 (North America); Brandão, 1991: 322 (Neotropical); Bolton, 1995b: 54.
Forel, 1885a: 361 (all species key); Emery, 1905f: 40 (all species key); Gallardo, 1916e: 325 (Argentina species key); Emery, 1924f: 347, 350 (Acromyrmex, Acromyrmex (Moellerius) diagnoses); Santschi, 1925a: 388 (all species revision, key); Creighton, 1950a: 326 (Nearctic species key); Kusnezov, 1956a: 33 (Argentina species key); Gonçalves, 1961: 118 (Brazil species revision, key); Zolessi & Abenante, 1977: 73 (Uruguay species, male genitalia); Fowler, 1988b: 284 (Acromyrmex (Moellerius) species key); Cherrett & Cherrett, 1989: 1 (bibliography); Bolton, 1994: 105 (synoptic classification); Bolton, 1995a: 1047 (census); Fernández et al., 2015: 40 (Colombia species key); Baccaro et al., 2015: 206 (genus in Brazil); Cantone, 2017: 183 (brief male diagnosis); Fernández & Serna, 2019: 833 (Colombia species key); Adams et al., 2021: 201 (larval development, caste and sex identification); Forti et al., 2022: 8 (key to major Acromyrmex workers in São Paulo State, Brazil).
Extant: 34 valid species (7 synonyms, 1 homonym, 1 unidentifiable, 8 obsolete combinations), 21 valid subspecies (43 synonyms, 21 obsolete combinations)