• Trapa Linnaeus, 1753
• Trapa bicornis Osbeck
• Trapa bispinosa Roxb. accepted as Trapa natans L.
• Trapa natans L.
• Trapaceae Dumortier, 1829 accepted as Lythraceae J. Saint-Hilaire, 1805
• Trapago E. McIver & J.F. Basinger, 1993 † accepted as Quereuxia A.N. Kryshtofovich ex T.I. Baikovskaja in Ju.A. Orlov, 1963 †
• Trapalcochelys Sterli, de la Fuente & Cerda, 2013 †
• Trapalcotherium Rougier, Chornogubsky, Casadio, Páez Arango & Giallombardo, 2009 †
• Trapania Pruvot-Fol, 1931
• Trapania africana Edmunds, 2009
• Trapania armilla Gosliner & Fahey, 2008
• Trapania aurata Rudman, 1987
• Trapania aureopunctata Rudman, 1987
• Trapania benni Rudman, 1987
• Trapania bonellenae Valdés, 2009
• Trapania brunnea Rudman, 1987
• Trapania caerulea Gosliner & Fahey, 2008
• Trapania canaria Ortea & Moro, 2009
• Trapania circinata Gosliner & Fahey, 2008
• Trapania cirrita Gosliner & Fahey, 2008
• Trapania dalva Ev. Marcus, 1972
• Trapania darveli Rudman, 1987
• Trapania darwini Gosliner & Fahey, 2008
• Trapania euryeia Gosliner & Fahey, 2008
• Trapania fusca (Lafont, 1874)
• Trapania gibbera Gosliner & Fahey, 2008
• Trapania goddardi Hermosillo & Valdés, 2004
• Trapania goslineri Millen & Bertsch, 2000
• Trapania graeffei (Bergh, 1880)
• Trapania hispalensis Cervera & Garcia-Gomez, 1989
• Trapania inbiotica Camacho-Garcia & Ortea, 2000
• Trapania japonica (Baba, 1935)
• Trapania lineata Haefelfinger, 1960
• Trapania luquei Ortea, 1989
• Trapania maculata Haefelfinger, 1960
• Trapania maringa Er. Marcus, 1957
• Trapania melaina Gosliner & Fahey, 2008
• Trapania miltabrancha Gosliner & Fahey, 2008
• Trapania naeva Gosliner & Fahey, 2008
• Trapania nebula Gosliner & Fahey, 2008
• Trapania orteai Garcia-Gomez & Cervera in Cervera & Garcia-Gomez, 1989
• Trapania pallida Kress, 1968
• Trapania palmula Gosliner & Fahey, 2008
• Trapania reticulata Rudman, 1987
• Trapania rudmani M.C. Miller, 1981
• Trapania safracornia Fahey, 2004
• Trapania sanctipetrensis Cervera, Garcia-Gomez & Megina, 2000
• Trapania scurra Gosliner & Fahey, 2008
• Trapania squama Gosliner & Fahey, 2008
• Trapania tartanella (Von Ihering, 1886)
• Trapania toddi Rudman, 1987
• Trapania tora Gosliner & Fahey, 2008
• Trapania velox (Cockerell, 1901)
• Trapania vitta Gosliner & Fahey, 2008
• Trapanimaria Szabó, Conti, Monari & Wendt, 2019 †