Adolfia Gürich, 1909 † (basis of record)
Adolfiidae Sartenaer, 1966 † (additional source)
Adolfiinae Sartenaer, 1966 † (additional source)
Arpaspirifer Afanasjeva in Alekseeva et al., 2018 † (original description)
Arpaspirifer latus (Abrahamian, 1974) † (new combination reference)
Cyrtospirifer Nalivkin in Fredericks, 1924 † (additional source)
Cyrtospirifer asiaticus Brice, 1970 † (basis of record)
Cyrtospirifer dansikensis Afanasjeva in Alekseeva et al., 2018 † (original description)
Cyrtospirifer echinosus Ljaschenko, 1958 † (basis of record)
Cyrtospirifer lonsdalii (Grabau, 1931) † (basis of record)
Cyrtospiriferidae Termier & Termier, 1949 † (additional source)
Cyrtospiriferinae Termier & Termier, 1949 † (basis of record)
Cyrtospiriferoidea Termier & Termier, 1949 † (additional source)
Gretchispirifer Oleneva, 2016 † (basis of record)
Nikospirifer Gretchishnikova, 1996 † (basis of record)
Nikospirifer praebisinus Gretchishnikova, 1996 † (basis of record)
Pripyatispirifer Pushkin, 1996 † (basis of record)
Pripyatispirifer belorussicus (Ljaschenko, 1959) † (basis of record)
Pripyatispirifer caucasius Afanasjeva in Alekseeva et al., 2018 † (original description)
Reticulariopsis Fredericks, 1916 † (basis of record)
Reticulariopsis rotunda Oleneva in Alekseeva et al., 2018 † (original description)
Sphenospira Cooper, 1954 † (basis of record)
Sphenospira dansikensis Gretchishnikova in Alekseeva et al., 2018 † (original description)