Between brackets is the number of accepted species
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- Mollusca (132 888)
- Subphylum Aculifera
- Subphylum Conchifera
- Subphylum Placophora accepted as Polyplacophora
- Superclass Aplacophora
- Class Amphineura accepted as Aculifera
- Class Bivalvia (25 022)
- Subclass Autobranchia (23 308)
- Infraclass Heteroconchia (16 648)
- Subterclass Archiheterodonta (1 208)
- Subterclass Euheterodonta (11 366)
- Subterclass Heterodonta
- Subterclass Palaeoheterodonta (4 073)
- Order Trigoniida (1 482)
- Superfamily Megatrigonioidea van Hoepen, 1929 † (336)
- Superfamily Myophorelloidea T. Kobayashi, 1954 † (376)
- Family Frenguelliellidae M. Nakano, 1960 † (14)
- Family Laevitrigoniidae Saveliev, 1958 † (2)
- Family Myophorellidae T. Kobayashi, 1954 † (100)
- Family Myophorelloidea incertae sedis †
- Family Rutitrigoniidae van Hoepen, 1929 † (79)
- Family Steinmanellidae M. R. Cooper, 1991 † (45)
- Family Vaugoniidae T. Kobayashi, 1954 † (136)
- Subfamily Orthotrigoniinae M. R. Cooper, 2024 † (31)
- Subfamily Quadratotrigoniinae Saveliev, 1958 † (73)
- Genus Amudariella M. R. Cooper, 2020 † (2)
- Genus Asiatotrigonia L. R. Cox, 1952 † (2)
- Genus Bobkovaella M. R. Cooper, 2020 † (2)
- Genus Bogdanovaella M. R. Cooper, 2020 † (6)
- Genus Cochisella M. R. Cooper, 2020 † (7)
- Genus Korobkovitrigonia Saveliev, 1958 † (6)
- Genus Leptotrigonia Saveliev, 1958 † (2)
- Genus Litschkovitrigonia Saveliev, 1958 † (8)
- Genus Lutetigonia M. R. Cooper, 2020 † (2)
- Genus Macheromenilia M. R. Cooper, 2020 † (1)
- Genus Mediterraneotrigonia M. Nakano, 1974 † (7)
- Genus Neoquadratotrigonia M. R. Cooper, 2020 † (6)
- Genus Quadratotrigonia Dietrich, 1933 † (8)
- Subgenus Quadratotrigonia (Leptotrigonia) Saveliev, 1958 † accepted as Leptotrigonia Saveliev, 1958 †
- Subgenus Quadratotrigonia (Quadratotrigonia) Dietrich, 1933 † accepted as Quadratotrigonia Dietrich, 1933 †
- Subgenus Quadratotrigonia (Transitrigonia) Dietrich, 1933 † accepted as Transitrigonia Dietrich, 1933 †
- Species Quadratotrigonia (Transitrigonia) fudsinensis Miroljubov, 1978 †
- Species Quadratotrigonia baksanensis Yanin & Bogdanova, 2017 †
- Species Quadratotrigonia cincta (Agassiz, 1840) †
- Species Quadratotrigonia daedalea (Parkinson, 1811) † accepted as Neoquadratotrigonia daedalea (Parkinson, 1811) †
- Species Quadratotrigonia karakaschi (Mordvilko, 1932) †
- Species Quadratotrigonia mangyshlakensis (Luppov, 1932) †
- Species Quadratotrigonia nodosa (J. De C. Sowerby, 1826) †
- Species Quadratotrigonia orbignyana (Lycett, 1875) †
- Species Quadratotrigonia padernensis (Petter-Receveur, 1955) †
- Species Quadratotrigonia sydorenkoeremeievae (Shheglova-Borodina, 1960) † accepted as Bobkovaella sydorenkoeremeievae (Shheglova-Borodina, 1960) †
- Species Quadratotrigonia turkmenica Vinokurova, 1970 † accepted as Vinokurovaella turkmenica (Vinokurova, 1970) †
- Species Quadratotrigonia vinokurovae M. R. Cooper, 2020 †
- Genus Romanovskajaella M. R. Cooper, 2020 † (5)
- Genus Romanovskiella M. R. Cooper, 2020 † (2)
- Genus Saveligonia M. R. Cooper, 2020 † (5)
- Genus Vinokurovaella M. R. Cooper, 2020 † (2)
- Subfamily Vaugoniinae T. Kobayashi, 1954 † (32)
- Superfamily Pseudocardinioidea Martinson, 1961 † (176)
- Superfamily Trigonioidea Lamarck, 1819 (350)
- Superfamily Trigonioidoidea L. R. Cox, 1952 † (226)
- Superfamily Trigonodoidea Modell, 1942 † (18)
- Order Unionida (2 580)
- Family Lyrodesmatidae P. Fischer, 1886 † (8)
- Family Pseudarcidae Scarlato & Starobogatov, 1979 † (3)
- Family Thoraliidae N. J. Morris, 1980 †
- Superorder Heteroconchia incertae sedis † (1)
- Infraclass Pteriomorphia (6 660)
- Subclass Bivalvia incertae sedis (7)
- Subclass Palaeotaxodonta accepted as Nuculida
- Subclass Paleoheterodonta accepted as Palaeoheterodonta
- Subclass Protobranchia (1 365)
- Infraclass Cryptodonta † (342)
- Class Caudofoveata (143)
- Class Cephalopoda (1 838)
- Class Conchifera accepted as Bivalvia
- Class Cricoconarida † (1)
- Class Gastropoda (102 777)
- Class Lamellibranchiata accepted as Bivalvia
- Class Loricata accepted as Polyplacophora
- Class Mollusca incertae sedis † (372)
- Class Monoplacophora (229)
- Class Pelecypoda accepted as Bivalvia
- Class Polyplacophora (1 377)
- Class Polyplaxiphora accepted as Polyplacophora
- Class Rostroconchia † (64)
- Class Scaphopoda (752)
- Class Solenoconchia accepted as Scaphopoda
- Class Solenogastres (313)
- Subclass Chaetodermomorpha accepted as Caudofoveata
