Clencharia abyssorum (A. E. Verrill & K. J. Bush, 1898)
Katadesmia cuneata (Jeffreys, 1876)
Katadesmia kolthoffi (Hägg, 1904)
Katadesmia polita (A. E. Verrill & K. J. Bush, 1898)
Malletia abyssopolaris A. H. Clarke, 1960 accepted as Tindaria derjugini Gorbunov, 1946
Malletia abyssorum A. E. Verrill & K. J. Bush, 1898 accepted as Clencharia abyssorum (A. E. Verrill & K. J. Bush, 1898)
Malletia cuneata Jeffreys, 1876 accepted as Katadesmia cuneata (Jeffreys, 1876)
Malletia johnsoni A. H. Clarke, 1961
Malletia obtusa (G. O. Sars, 1872) accepted as Malletia pianii (van Aartsen & Giannuzzi-Savelli, 1991)
Malletia obtusata [sic] accepted as Malletia obtusa (G. O. Sars, 1872) accepted as Malletia pianii (van Aartsen & Giannuzzi-Savelli, 1991)
Malletia perrieri Dautzenberg & H. Fischer, 1897 accepted as Tindaria perrieri (Dautzenberg & H. Fischer, 1897)
Malletia pianii (van Aartsen & Giannuzzi-Savelli, 1991)
Pseudomalletia obtusa (G. O. Sars, 1872) accepted as Malletia pianii (van Aartsen & Giannuzzi-Savelli, 1991)
Pseudomalletia pianii van Aartsen & Giannuzzi-Savelli, 1991 accepted as Malletia pianii (van Aartsen & Giannuzzi-Savelli, 1991)