The genera Euanoma Reitter, 1889 and Pseudeuanoma Pic, 1901 are revised. Both genera are classified in the family Drilidae along with Paradrilus Kiesenwetter, 1865, Drilus Olivier, 1790, Malacogaster Bassi, 1834 and Selasia Castelnau, 1836. All known species are redescribed and the following three new species are described, Euanoma curvata sp. nov., E. svihlai sp. nov., and E., marketae sp. nov. Phaeopterus graecus Pic, 1901 is transferred from Omalisidae to Drilidae and the new combination Euanoma graeca (Pic, 1901) is proposed; Euanoma semitestacea (Pic, 1907) comb. nov. is transferred from Pseudeuanoma Pic, 1901. Pseudeuanoma ionica semiobscura Pic, 1901 and Pseudeuanoma subimpressa Pic, 1901 are made junior subjective synonyms of Pseudeuanoma ionica Pic, 1901. The identification key for males of World genera of Drilidae and species of Euanoma Reiter, 1889 and Pseudeuanoma Pic, 1901 is given. The zoogeography and relationships between species and genera are discussed.