Rhynchonellata
Alipunctifera Waterhouse, 1975
Lamnaespina Waterhouse, 1976
Liriplica Campbell, 1961
Punctospirifer North, 1920
Pustulospiriferina Waterhouse, Campbell & Williams, 1983
Yangkongia Xu & Liu, 1983
Ziganella Nalivkin, 1960