Anomalodesmata is een superorde van de tweekleppigen.
Superfamilies en families Clavagelloidea d'Orbigny, 1844 Clavagellidae d'Orbigny, 1844 Penicillidae Bruguière, 1789 Cuspidarioidea Dall, 1886 Cuspidariidae Dall, 1886 Halonymphidae Scarlato & Starobogatov, 1983 Protocuspidariidae Scarlato & Starobogatov, 1983 Spheniopsidae J. Gardner, 1928 Myochamoidea Carpenter, 1861 Cleidothaeridae Hedley, 1918 (1870) Myochamidae Carpenter, 1861 Pandoroidea Rafinesque, 1815 Lyonsiidae P. Fischer, 1887 Pandoridae Rafinesque, 1815 Pholadomyoidea King, 1844 Parilimyidae Morton, 1981 Pholadomyidae King, 1844 Poromyoidea Dall, 1886 Cetoconchidae Ridewood, 1903 Poromyidae Dall, 1886 Thracioidea Stoliczka, 1870 (1839) Clistoconchidae Morton, 2012 Periplomatidae Dall, 1895 Thraciidae Stoliczka, 1870 (1839) Verticordioidea Stoliczka, 1870 Euciroidae Dall, 1895 Lyonsiellidae Dall, 1895 Verticordiidae Stoliczka, 1870 Laternulidae Hedley, 1918 (1840)