Canuellidae Lang, 1944

Brianola Monard, 1926

Canuella Scott, 1893

Canuellina Gurney, 1927

Canuellopsis Lang, 1936

Coullana Por, 1984

Echinosunaristes Huys, 1995

Elanella Por, 1984

Ellucana Sewell, 1940

Galapacanuella Mielke, 1979

Ifanella Vervoort, 1964

Indicanuella Por, 1984

Intercanuella Becker & Schriever, 1979

Intersunaristes Huys, 1995

Microcanuella Mielke, 1994

Nathaniella Por, 1984

Parasunaristes Fiers, 1982

Scottolana Por, 1967