1. Family Babyloniidae Kuroda, Habe & Oyama, 1971
2. Family Cancellariidae Forbes & Hanley, 1851
3. Family Clavilithidae Vermeij & M. A. Snyder, 2018 †
4. Genus Enigmavasum Poppe & Tagaro, 2005
5. Family Harpidae Bronn, 1849
6. Family Johnwyattiidae Serna, 1979 †
7. Family Maturifusidae Gründel, 2001 †
8. Genus Parafusus Wade, 1918 †
9. Family Perissityidae Popenoe & Saul, 1987 †
10. Family Pseudotritoniidae A. N. Golikov & Starobogatov, 1987 †
11. Family Purpurinidae Zittel, 1895 †
12. Family Speightiidae A. W. B. Powell, 1942 †
13. Family Strepsiduridae Cossmann, 1901
14. Subfamily Syphopsinae Le Renard, 2005 †
    1. Genus Amplosipho Cossmann, 1901 †
    2. Genus Andoniopsis Le Renard, 1995 †
    3. Genus Coptosipho Le Renard, 1989 †
    4. Genus Pseudoandonia Moroni & Ruggieri, 1981 †
    5. Genus Siphonaliopsis Le Renard, 1995 †
    6. Genus Syphopsis Le Renard, 2005 †
    7. Genus Siphopsis Le Renard, 1995 † accepted as Syphopsis Le Renard, 2005 † (unaccepted > junior homonym, junior homonym of Siphopsis Rafinesque, 1819 [Cnidaria]; Syphopsis is a replacement name)
15. Family Taiomidae H. J. Finlay & Marwick, 1937 †
16. Genus Hyllus Wade, 1917 † accepted as Parafusus Wade, 1918 † (invalid: junior homonym of Hyllus Koch, 1846 [Arachnida] and Hyllus Stahl, 1867 [Hemiptera]; Parafusus and Wadia are replacement names)
17. Family Melapiidae Kantor, 1991 accepted as Strepsiduridae Cossmann, 1901
18. Subfamily Siphopsinae Le Renard, 1995 † accepted as Syphopsinae Le Renard, 2005 †
19. Genus Wadia Cossmann, 1920 † accepted as Parafusus Wade, 1918 †

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