1. Family Bursidae Thiele, 1925
2. Family Cassidae Latreille, 1825
3. Family Charoniidae A. W. B. Powell, 1933
4. Family Cymatiidae Iredale, 1913 (1854)
5. Family Laubierinidae Warén & Bouchet, 1990
6. Family Personidae Gray, 1854
7. Family Ranellidae Gray, 1854
8. Family Thalassocyonidae F. Riedel, 1995
9. Family Tonnidae Suter, 1913 (1825)
10. Family Aquillidae Pilsbry, 1904 accepted as Cymatiidae Iredale, 1913 (1854)
11. Family Calcarellidae Schaufuss, 1869 accepted as Personidae Gray, 1854 (unaccepted > junior subjective synonym)
12. Family Galeodoliidae Sacco, 1891 accepted as Tonnidae Suter, 1913 (1825)
13. Family Lampusiidae R. B. Newton, 1891 accepted as Cymatiidae Iredale, 1913 (1854)
14. Family Lotoriidae G. F. Harris, 1897 accepted as Cymatiidae Iredale, 1913 (1854)
15. Family Macgillivrayiidae H. Adams & A. Adams, 1854 accepted as Tonnidae Suter, 1913 (1825)
16. Family Nyctilochidae Dall, 1912 accepted as Cymatiidae Iredale, 1913 (1854) (junior synonym)
17. Family Oocorythidae P. Fischer, 1885 accepted as Cassidae Latreille, 1825
18. Subfamily Personinae Gray, 1854 accepted as Personidae Gray, 1854 (original rank)
19. Family Septidae Dall & C. T. Simpson, 1901 accepted as Cymatiidae Iredale, 1913 (1854) (unaccepted > junior subjective synonym)
20. Family Simpulidae Dautzenberg, 1900 accepted as Cymatiidae Iredale, 1913 (1854)
21. Family Tritoniidae H. Adams & A. Adams, 1853 accepted as Ranellidae Gray, 1854 (Invalid: type genus a junior homonym of Tritonium O.F. Müller, 1776. Also homonym of Tritoniidae Lamarck, 1809 based on Tritonia Cuvier, 1797)

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