As with almost all fossils, the taxonomic relations of and within the euophaloids can only be inferred from their remaining hard parts, in their case the shell. The general inclusion of the Euomphalacea, as originally spelled[2][4] is based on the asymmetrically coiled tubular shell, suggestive if not indicative of the diagnostic torsion.
J. Brooks Knight, et al, 1960, in the Treatise on Invertebrate Paleontology, Part I, included the Euomphalacea, as then used, in the suborder Macluritina, deriving them from the Macluritacea, and included the following three families.
- Euomphalidae de Konick, 1881
- Helicotomidae Wenz, 1938
- Omphalotrochidae Knight, 1945
Prior to, R.C. Moore[2] in 1952, included the Euomphalacea in the gastropod order Archaeogastropoda.
The Euomphaloidea are included in the gastropod order Euomphalina, subclass Eogastropoda (revised Prosobranchia) according to Ponder & Lindberg (1997)Taxonomy of the Gastropoda (Ponder & Lindberg, 1997). This was accepted by Wagner, (2008)[1] revised to include the following families.
- Anomphalidae Wenz, 1938
- Elasmonematidae Knight, 1956
- Euomphalidae de Koninck, 1881
- Helicotomidae Wenz, 1938
- Holopeidae Wenz, 1938
- Lesueurillidae Wagner, 1999
- Microdomatidae Wenz, 1938
- Omphalocirridae Wenz, 1938
- Omphalotrochidae Knight, 1945
- Pseudophoridae Miller, 1889
- Raphistomatidae Koken, 1896
- Tychobraheidae Horný, 1992 (excludes Tychobrahea)
In the meantime Boucet and Rocroi (2005) classified the Eumphaloidea simply as Paleozoic molluscs with anisostrophically coiled shells of uncertain position that are possibly gastropods, recognizing only five families, the:
- Euomphalidae
- Helicotomidae
- Lesueurillidae
- Omphalocirridae
- Omphalotrochidae
Prior to being included in the Euomphaloidea, the Anomphalidae, Elasmonematidae, Holopeidae, and Microdomatidae were included in the suborder Trochina, Cox & Knight 1960; the Anomphalidae in the Anomphalacea, the Elasmonematidae and Microdomatidae in the Microdomatacea, and the Holopeidae in the Plytyceratacea. The Raphystomatidae were included in the Pleurotomaracea, Pleurotomarina.
Omphalocirrus is included in the Maclurridae in the Treatise, 1960,[4] but Lioomphalus, given as also in the Omphalocerridae [5] is a synonym for Euomphalus, Euomphalidae,