1. Family Carinopeltidae Parkhaev, 2013 †
2. Family Coreospiridae Knight, 1947 †
3. Family Scenellidae S. A. Miller, 1889 †
4. Family Archaeospiridae W. Yu, 1979 † accepted as Coreospiridae Knight, 1947 † (unaccepted > junior subjective synonym)
5. Family Ceratoconidae Missarzhevsky, 1989 † accepted as Yangtzeconidae Yu, 1979 † accepted as Yangtzeconinae W. Yu, 1979 † (a junior synonym)
6. Family Eosoconidae W. Yu, 1979 † accepted as Scenellinae S. A. Miller, 1889 † (a junior synonym)
7. Family Helcionellidae Wenz, 1938 † accepted as Scenellidae S. A. Miller, 1889 † (a junior synonym)
8. Family Igarkiellidae Parkhaev, 2001 † accepted as Carinopeltidae Parkhaev, 2013 † (Invalid: type genus a junior homonym of Igarkiella Rozova, 1964 [Trilobita])
9. Family Latouchellidae A. N. Golikov & Starobogatov, 1989 † accepted as Coreospiridae Knight, 1947 † (a junior synonym)
10. Family Marocellidae Topper, Brock, Skovsted & Paterson, 2009 † accepted as Scenellidae S. A. Miller, 1889 † (a junior synonym)
11. Family Palaeacmaeidae Grabau & Shimer, 1909 † accepted as Scenellinae S. A. Miller, 1889 † (a junior synonym)
12. Family Shelbyoceratidae Stinchcomb, 1986 † accepted as Scenellidae S. A. Miller, 1889 † (unaccepted > junior subjective synonym)
13. Family Shelbyoceridae Stinchcomb, 1986 † accepted as Shelbyoceratidae Stinchcomb, 1986 † accepted as Scenellidae S. A. Miller, 1889 † (unaccepted > misspelling - incorrect original spelling)
14. Family Yangtzeconidae Yu, 1979 † accepted as Yangtzeconinae W. Yu, 1979 † (original rank)
15. Family Yangtzespiridae W. Yu, 1987 † accepted as Coreospiridae Knight, 1947 † (a junior synonym)

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