根據WoRMS的紀錄，本科之下有至少18個屬，包括下列各分類[7]：
- Aenigmigulella Pilsbry & Cockerell, 1933
- Dadagulella Rowson & Tattersfield, 2013
- Discartemon L. Pfeiffer, 1856: 亚科: 扭轴蜗牛亚科（Streptaxinae）
- 艾玛螺属 Elma H.Adams, 1866
- Elma fultoni (Bavay & Dautzenberg, 1912)
- Elma mansuyi (Dautzenberg & H.Fischer, 1906)
- Elma matskasii Varga, 2012
- Elma messageri (Bavay & Dautzenberg, 1904)
- Elma mitis Heude, 1890
- Elma oblongata Yen, 1939
- Elma pachygyra (Gredler, 1885)
- Elma sinensis (Möllendorff, 1886)
- Elma swinhoei (H.Adams, 1866)
- Elma tonkiniana (Bavay & Dautzenberg, 1904)
- 草包蝸牛屬 Ennea H. Adams & A. Adams, 1855
- † Goniodomulus Harzhauser & Neubauer in Harzhauser et al., 2016
- 食蜗螺属 Gulella L. Pfeiffer, 1856
- 胡氏螺亚属 胡氏螺亚属 Gulella (Huttonella) L. Pfeiffer, 1856
- 单齿螺属 Haploptychius Möllendorff, 1906：单齿蜗牛属，原為Oophana屬的亞屬[8]:76。
- 宽肋单齿螺 Haploptychius costulatus (Moellendorff, 1881)[9]
- 西方单齿螺 Haploptychius occidentalis (Heude, 1885)[10]
- 印支扭螺属 Indoartemon Forcart, 1946
- Microstrophia Möllendorff, 1887
- 齿口蜗牛属 Odontartemon L. Pfeiffer, 1856[5]
- 红齿口蜗牛 Odontartemon fuchsianus (Gredler, 1881)[5]
- Oophana Ancey, 1884[11]： Orthogibbinae亞科。
- Oophana bulbulus (Morelet, 1862)：模式屬[12]
- Oophana diaphanopepla van Benthem Jutting[13]
- Oophana elisa Gould, 1856[12]
- 刁曼扭蜗牛 Oophana tiomanensis Clements, 2006[12]
- 扭蝸牛屬 Perrottetia Kobelt, 1905，皮氏扭螺属[14]
- Primigulella Pilsbry, 1919
- Stemmatopsis Mabille, 1887
- Streptartemon Kobelt, 1905
- 扭轴蜗牛属 Streptaxis Gray, 1837
- Streptostele Dohrn, 1866
- 泰氏扭螺属 Tayloria Bourguignat, 1890
- Tayloria amaniensis Verdcourt, 1960
- Tayloria angustestriata K.L.Pfeiffer, 1952
- Tayloria angustistriata K.Pfeiffer
- Tayloria babaulti Germain, 1923
- Tayloria (Macrogonaxis) craveni (E.A.Smith, 1880)
- Tayloria desiderata (Preston, 1913)
- Tayloria (Macrogonaxis) enneoides (E.von Martens, 1878)
- Tayloria gigas (E.A.Smith, 1880)
- Tayloria grandis Thiele, 1933
- Tayloria (Macrogonaxis) gwandaensis (Preston, 1912)
- Tayloria helicoides (C.R.Boettger, 1913)
- Tayloria hyalinoides (Thiele, 1911)
- Tayloria iterata E.von Martens, 1897
- Tayloria jouberti Bourguignat, 1890
- Tayloria jucunda Thiele, 1933
- Tayloria kibweziensis (E.A.Smith, 1894)
- Tayloria kulalensis Rowson, Foster, Seddon & Tattersfield, 2019
- Tayloria (Colpanostoma) leroyi (Bourguignat, 1890)
- Tayloria moncieuxi F.Haas, 1934
- Tayloria (Macrogonaxis) quadrilateralis (Preston, 1910)
- Tayloria shimbiensis Connolly, 1922
- Tayloria (Somalitayloria) somaliensis (Connolly, 1931)
- Tayloria striata Verdcourt, 1958
- Tayloria urguessensis (Preston, 1913)
- Tayloria usambarica (Craven, 1880)
這18個屬可以根據其螺殼的形態，按形態學分類劃分為三大類[8]。
此外，本科部分屬有其他文獻建議從本科獨立出來，例如：一眾與草包蝸牛屬相近的物種，被建議歸入草包蝸牛亞科。這些屬計有：
