Clencharia abyssorum (A. E. Verrill & K. J. Bush, 1898)
Katadesmia cuneata (Jeffreys, 1876)
Katadesmia pallida (E. A. Smith, 1885)
Katadesmia polita (A. E. Verrill & K. J. Bush, 1898)
Malletia abyssorum A. E. Verrill & K. J. Bush, 1898 accepted as Clencharia abyssorum (A. E. Verrill & K. J. Bush, 1898)
Malletia chilensis Desmoulins, 1832
Malletia concentrica Thiele, 1912 accepted as Tindaria concentrica (Thiele, 1912)
Malletia cuneata Jeffreys, 1876 accepted as Katadesmia cuneata (Jeffreys, 1876)
Malletia inequalis Dall, 1908 accepted as Malletia chilensis Desmoulins, 1832
Malletia johnsoni A. H. Clarke, 1961
Malletia pallida E. A. Smith, 1885 accepted as Katadesmia pallida (E. A. Smith, 1885)
Malletia pellucida Thiele, 1912
Malletia polita A. E. Verrill & K. J. Bush, 1898 accepted as Katadesmia polita (A. E. Verrill & K. J. Bush, 1898)