Cranchiidae Prosch, 1847
Liocranchia gardineri Robson, 1921
Liocranchia reinhardti (Steenstrup, 1856)
Liocranchia reinhardtii (Steenstrup, 1856)
Liocranchia valdivae Chun, 1906
Liocranchia valdiviae Chun, 1910