• Solemya Lamarck, 1818
• Solemya (Acharax) Dall, 1908 accepted as Acharax Dall, 1908
• Solemya (Acharax) agassizii Dall, 1908 accepted as Acharax johnsoni (Dall, 1891)
• Solemya (Acharax) bartschii Dall, 1908 accepted as Acharax bartschii (Dall, 1908)
• Solemya (Acharax) burica Olsson, 1942 † accepted as Acharax burica (Olsson, 1942) †
• Solemya (Acharax) caribbaea H. E. Vokes, 1970 accepted as Acharax caribbaea (H. E. Vokes, 1970)
• Solemya (Acharax) gigas Kanno, 1960 † accepted as Acharax gigas (Kanno, 1960) †
• Solemya (Acharax) grandis Prashad, 1932 accepted as Acharax prashadi (H. E. Vokes, 1955)
• Solemya (Acharax) muroensis Natori, 1964 † accepted as Acharax muroensis (Natori, 1964) †
• Solemya (Acharax) prashadi H. E. Vokes, 1955 accepted as Acharax prashadi (H. E. Vokes, 1955)
• Solemya (Acharax) tibai Kuroda, 1948 accepted as Acharax johnsoni (Dall, 1891)
• Solemya (Acharax) winckworthi Prashad, 1932 accepted as Solemya winckworthi Prashad, 1932
• Solemya (Austrosolemya) J. D. Taylor, Glover & S. T. Williams, 2008 represented as Solemya Lamarck, 1818
• Solemya (Austrosolemya) australis Lamarck, 1818 represented as Solemya australis Lamarck, 1818
• Solemya (Janeia) W. King, 1850 † (uncertain > nomen dubium)
• Solemya (Janeia) elliptica R.-J. Zhang, 1977 † (uncertain > taxon inquirendum)
• Solemya (Janeia) minuta R.-J. Zhang, 1977 † (uncertain > taxon inquirendum)
• Solemya (Petrasma) Dall, 1908 accepted as Petrasma Dall, 1908
• Solemya (Petrasma) africana E. von Martens, 1879 represented as Solemya africana E. von Martens, 1879
• Solemya (Petrasma) atacama (Kuznetzov & Schileyko, 1984) accepted as Petrasma pervernicosa (Kuroda, 1948)
• Solemya (Petrasma) borealis Totten, 1834 accepted as Petrasma borealis (Totten, 1834)
• Solemya (Petrasma) elarraichensis P. G. Oliver, Rodrigues & M. Cunha, 2011 represented as Solemya elarraichensis P. G. Oliver, Rodrigues & M. Cunha, 2011
• Solemya (Petrasma) flava Sato, Sasaki & H. Watanabe, 2013 represented as Solemya flava Sato, Sasaki & H. Watanabe, 2013
• Solemya (Petrasma) moretonensis J. D. Taylor, Glover & S. T. Williams, 2008 represented as Solemya moretonensis J. D. Taylor, Glover & S. T. Williams, 2008
• Solemya (Petrasma) panamensis Dall, 1908 represented as Solemya panamensis Dall, 1908
• Solemya (Petrasma) pervernicosa Kuroda, 1948 accepted as Petrasma pervernicosa (Kuroda, 1948)
• Solemya (Petrasma) pusilla A. Gould, 1861 represented as Solemya pusilla A. Gould, 1861
• Solemya (Petrasma) reidi F. R. Bernard, 1980 accepted as Petrasma pervernicosa (Kuroda, 1948)
• Solemya (Petrasma) tagiri Okutani, Hashimoto & T. Miura, 2004 represented as Solemya tagiri Okutani, Hashimoto & T. Miura, 2004
• Solemya (Petrasma) valvulus P. P. Carpenter, 1864 accepted as Solemya valvulus P. P. Carpenter, 1864
• Solemya (Petrasma) velum Say, 1822 represented as Solemya velum Say, 1822
• Solemya (Petrasma) winckworthi Prashad, 1932 represented as Solemya winckworthi Prashad, 1932
• Solemya (Pseudacharax) M. Huber, 2010 represented as Solemya Lamarck, 1818
• Solemya (Pseudacharax) japonica Dunker, 1882 represented as Solemya japonica Dunker, 1882
• Solemya (Pseudacharax) notialis Simone, 2009 represented as Solemya notialis Simone, 2009
• Solemya (Pseudacharax) occidentalis Deshayes, 1857 represented as Solemya occidentalis Deshayes, 1857
• Solemya (Solemya) Lamarck, 1818 represented as Solemya Lamarck, 1818
• Solemya (Solemya) flava Sato, Sasaki & H. Watanabe, 2013 represented as Solemya flava Sato, Sasaki & H. Watanabe, 2013
• Solemya (Solemya) pusilla A. Gould, 1861 represented as Solemya pusilla A. Gould, 1861
• Solemya (Solemya) reidi F. R. Bernard, 1980 accepted as Petrasma pervernicosa (Kuroda, 1948)
• Solemya (Solemya) tagiri Okutani, Hashimoto & T. Miura, 2004 represented as Solemya tagiri Okutani, Hashimoto & T. Miura, 2004
• Solemya (Solemya) togata (Poli, 1791) represented as Solemya togata (Poli, 1791)
• Solemya (Solemya) valvulus P. P. Carpenter, 1864 represented as Solemya valvulus P. P. Carpenter, 1864
• Solemya (Solemyarina) Iredale, 1939 represented as Solemya Lamarck, 1818
• Solemya (Solemyarina) terraereginae Iredale, 1929 represented as Solemya terraereginae Iredale, 1929
• Solemya (Solemyarina) velesiana (Iredale, 1931) represented as Solemya velesiana Iredale, 1931
• Solemya (Zesolemya) Iredale, 1939 represented as Solemya Lamarck, 1818
• Solemya (Zesolemya) calypso Walton, 2015 represented as Solemya calypso Walton, 2015
• Solemya (Zesolemya) marshalli Walton, 2015 represented as Solemya marshalli Walton, 2015
• Solemya (Zesolemya) parkinsonii E. A. Smith, 1874 represented as Solemya parkinsonii E. A. Smith, 1874
• Solemya africana E. von Martens, 1879
• Solemya agassizii Dall, 1908 accepted as Acharax johnsoni (Dall, 1891)
• Solemya angusta (Deshayes, 1830) †
• Solemya antarctica R. A. Philippi, 1887 † (uncertain > nomen dubium)
• Solemya atacama (Kuznetzov & Schileyko, 1984) accepted as Petrasma pervernicosa (Kuroda, 1948)
• Solemya australis Lamarck, 1818
• Solemya bartschii Dall, 1908 accepted as Acharax bartschii (Dall, 1908)
• Solemya blainvillei Deshayes, 1857 †
• Solemya borealis Totten, 1834 accepted as Petrasma borealis (Totten, 1834)
• Solemya calypso Walton, 2015
• Solemya caribbaea H. E. Vokes, 1970 accepted as Acharax caribbaea (H. E. Vokes, 1970)
• Solemya cuvieri Deshayes, 1858 †
• Solemya elarraichensis P. G. Oliver, Rodrigues & M. Cunha, 2011
• Solemya flava Sato, Sasaki & H. Watanabe, 2013
• Solemya grandis A. E. Verrill & K. J. Bush, 1898 accepted as Acharax grandis (A. E. Verrill & K. J. Bush, 1898)
• Solemya grandis Prashad, 1932 accepted as Acharax prashadi (H. E. Vokes, 1955)
• Solemya japonica Dunker, 1882
• Solemya johnsoni Dall, 1891 accepted as Acharax johnsoni (Dall, 1891)
• Solemya kingsparki Stilwell, 2005 †
• Solemya labiosa Yokoyama, 1928 †
• Solemya lamarcki Gay, 1858 accepted as Solemya togata (Poli, 1791)
• Solemya lomitensis Olsson, 1931 †
• Solemya lucifuga Pérez-Barría & S. N. Nielsen, 2019 †
• Solemya macrodactyla Mabille & Rochebrune, 1889 accepted as Acharax patagonica (E. A. Smith, 1885)
• Solemya maikaensis (Marwick, 1953) †
• Solemya marshalli Walton, 2015
• Solemya mediterranea Lamarck, 1818 accepted as Solemya togata (Poli, 1791)
• Solemya moretonensis J. D. Taylor, Glover & S. T. Williams, 2008
• Solemya notialis Simone, 2009
• Solemya occidentalis Deshayes, 1857
• Solemya occidentalis Stanton, 1895 † accepted as Solemya stantoni H. E. Vokes, 1955 † accepted as Acharax stantoni (H. E. Vokes, 1955) †
• Solemya panamensis Dall, 1908
• Solemya parkinsoni [sic] accepted as Solemya parkinsonii E. A. Smith, 1874
• Solemya parkinsonii E. A. Smith, 1874
• Solemya parvula (G. B. Sowerby I, 1822) †
• Solemya patagonica E. A. Smith, 1885 accepted as Acharax patagonica (E. A. Smith, 1885)
• Solemya penjica Sinelnikova, 1997 † (uncertain > unassessed)
• Solemya pervernicosa Kuroda, 1948 accepted as Petrasma pervernicosa (Kuroda, 1948)
• Solemya peteri Zinsmeister, 1984 † accepted as Acharax peteri (Zinsmeister, 1984) †
• Solemya prashadi H. E. Vokes, 1955 accepted as Acharax prashadi (H. E. Vokes, 1955)
• Solemya primaeva J. Phillips, 1836 † accepted as Acharax primaeva (J. Phillips, 1836) †
• Solemya puata Walton, 2015
• Solemya pusilla A. Gould, 1861
• Solemya radiata Meek & Worthen, 1861 † (uncertain > unassessed)
• Solemya reidi F. R. Bernard, 1980 accepted as Petrasma pervernicosa (Kuroda, 1948)
• Solemya rossiana (Wilckens, 1910) †
• Solemya stantoni H. E. Vokes, 1955 † accepted as Acharax stantoni (H. E. Vokes, 1955) †
• Solemya subquadrata Foresti, 1879 † accepted as Acharax subquadrata (Foresti, 1879) †
• Solemya sulcifera C. M. Cooke, 1919 †
• Solemya surolongata Stilwell, 2000 †