The world Rhinophoridae are catalogued, recognising 33 genera and 177 species. Nomenclatural information is provided for all genus-group and species-group names, including lists of synonyms and name-bearing type data. Species distributions are recorded by country. A key to the world genera is presented. Four new genera are erected to accommodate five new species, which do not fit within any of the current generic concepts in Rhinophoridae, according to the results of a morphology-based phylogenetic analysis: Marshallicona Cerretti & Pape with type species Marshallicona quitu Cerretti & Pape, gen. et sp. nov. (Ecuador); Maurhinophora Cerretti & Pape with type species Maurhinophora indoceanica Cerretti & Pape, gen. et sp. nov. (Mauritius); Neotarsina Cerretti & Pape with type species Neotarsina caraibica Cerretti & Pape, gen. et sp. nov. (Trinidad and Tobago) and Neotarsina andina Cerretti & Pape, sp. nov. (Peru); Kinabalumyia Cerretti & Pape with type species Kinabalumyia pinax Cerretti & Pape, gen. et sp. nov. (Malaysia, Sabah). The genus Aporeomyia Pape & Shima (type species Aporeomyia antennalis Pape & Shima), originally assigned to Tachinidae, is here reassigned to Rhinophoridae based on a reassessment of the homologies of the male terminalia. The following five species-group names, which were previously treated as junior synonyms or nomina dubia, are recognised as valid species names: Acompomintho caucasica (Villeneuve, 1908), stat. rev. [from nomen dubium to valid species]; Acompomintho sinensis (Villeneuve, 1936), stat. rev. [from nomen dubium to valid species]; Stevenia bertei (Rondani, 1865), stat. rev. [from nomen dubium to valid species]; Stevenia sardoa Villeneuve, 1920, stat. rev. [from junior synonym of Rhinophora deceptoria Loew, 1847 to valid species]; Stevenia subalbida (Villeneuve, 1911), stat. rev. [from junior synonym of Rhinophora deceptoria Loew, 1847 to valid species]. Reversal of precedence is invoked for the following case of subjective synonymy to promote stability in nomenclature: Rhinophora lepida (Meigen, 1824), nomen protectum, and Musca parcus Harris, 1780: 144, nomen oblitum. New generic and specific synonymies are proposed for the following two names: Mimodexia Rohdendorf, 1935, junior synonym of Tromodesia Rondani, 1856, syn. nov. and Ptilocheta tacchetti Rondani, 1865, junior synonym of Stevenia obscuripennis (Loew, 1847), syn. nov. The following new combinations are proposed: Acompomintho sinensis (Villeneuve, 1936), comb. nov. [transferred from Tricogena Robineau-Desvoidy, 1830]; Tromodesia guzari (Rohdendorf, 1935), comb. nov. [transferred from Mimodexia Rohdendorf, 1935]; Tromodesia intermedia (Rohdendorf, 1935), comb. nov. [transferred from Mimodexia Rohdendorf, 1935]; Tromodesia lindneriana (Rohdendorf, 1961), comb. nov. [transferred from Mimodexia Rohdendorf, 1935]; Tromodesia magnifica (Rohdendorf, 1935), comb. nov. [transferred from Mimodexia Rohdendorf, 1935]; Tromodesia obscurior (Rohdendorf, 1935), comb. nov. [transferred from Mimodexia Rohdendorf, 1935]; Tromodesia pallidissima (Rohdendorf, 1935), comb. nov. [transferred from Mimodexia Rohdendorf, 1935]; Tromodesia setiventris (Rohdendorf, 1935), comb. nov. [transferred from Mimodexia Rohdendorf, 1935] and Tromodesia shachrudi (Rohdendorf, 1935), comb. nov. [transferred from Mimodexia Rohdendorf, 1935].