Terebratulida Waagen, 1883
Cryptacanthia White & St. John, 1867
Cryptocanthia Schuchert, 1893
Goniothyris Buckman, 1914
Monsardithyris Almeras, 1971
Plectothyris Rollier, 1918
Pseudoglossothyris Buckman, 1901
Waconella Owen, 1970
