Gryllidae Laicharting, 1781
Cyrtoxipha abares Otte, D. & Perez-Gelabert, 2009
Cyrtoxipha aguanueva Otte, D. & Perez-Gelabert, 2009
Cyrtoxipha aleptos Otte, D. & Perez-Gelabert, 2009
Cyrtoxipha aoratos Otte, D. & Perez-Gelabert, 2009
Cyrtoxipha apiata Otte, D. & Perez-Gelabert, 2009
Cyrtoxipha catherinae Otte, D. & Perez-Gelabert, 2009
Cyrtoxipha cayman Otte, D. & Perez-Gelabert, 2009
Cyrtoxipha clarki Otte, D. & Perez-Gelabert, 2009
Cyrtoxipha columbiana Caudell, 1907
Cyrtoxipha confusa Walker, T.J., 1969
Cyrtoxipha contumax Otte, D. & Perez-Gelabert, 2009
Cyrtoxipha cracticos Otte, D. & Perez-Gelabert, 2009
Cyrtoxipha cryptadia Otte, D. & Perez-Gelabert, 2009
Cyrtoxipha ctilos Otte, D. & Perez-Gelabert, 2009
Cyrtoxipha electrina Gorochov, 2010
Cyrtoxipha errans Otte, D. & Perez-Gelabert, 2009
Cyrtoxipha eucrines Otte, D. & Perez-Gelabert, 2009
Cyrtoxipha gundlachi Saussure, 1874
Cyrtoxipha hosios Otte, D. & Perez-Gelabert, 2009
Cyrtoxipha illegibilis Gorochov, 2010
Cyrtoxipha itame Otte, D. & Perez-Gelabert, 2009
Cyrtoxipha laurelae Otte, D. & Perez-Gelabert, 2009
Cyrtoxipha nola Walker, T.J., 1969
Cyrtoxipha orientalis Bland & Desutter-Grandcolas, 2003
Cyrtoxipha pallens Otte, D. & Perez-Gelabert, 2009
Cyrtoxipha pernambucensis Rehn, J.A.G., 1920
Cyrtoxipha poeyi (Bolívar, I., 1888)
Cyrtoxipha pumila (Burmeister, 1838)
Cyrtoxipha tempestiva Otte, D. & Perez-Gelabert, 2009
Cyrtoxipha vespertina Otte, D. & Perez-Gelabert, 2009