• Conaea hispida Heron, 1977
• Conaea rapax Giesbrecht, 1891
• Conaea succurva Heron, 1977
• Epicalymma schmitti Heron, 1977
• Epicalymma umbonata Heron, 1977
• Oncaea antarctica Heron, 1977 accepted as Triconia antarctica (Heron, 1977)
• Oncaea bowmani Heron, 1977
• Oncaea brocha Heron, 1977
• Oncaea compacta Heron, 1977
• Oncaea conifera Giesbrecht, 1891 accepted as Triconia conifera (Giesbrecht, 1891)
• Oncaea convexa Heron, 1977
• Oncaea curvata Giesbrecht, 1902
• Oncaea damkaeri Heron, 1977
• Oncaea englishi Heron, 1977
• Oncaea illgi Heron, 1977
• Oncaea lacinia Heron, English & Damkaer, 1984
• Oncaea macilenta Heron, 1977
• Oncaea mediterranea (Claus, 1863)
• Oncaea mediterranea mediterranea Claus, 1863
• Oncaea olsoni Heron, 1977
• Oncaea parila Heron, 1977
• Oncaea petila Heron, 1977
• Oncaea prolata Heron, 1977
• Oncaea pumilis Heron, 1977
• Oncaea rotunda Heron, 1977
• Oncaea setosa Heron, 1977
• Oncaea venusta Philippi, 1843 represented as Oncaea venusta venusta Philippi, 1843
• Oncaea venusta venusta Philippi, 1843
• Oncaea walleni Heron, 1977
• Triconia antarctica (Heron, 1977)
• Triconia conifera (Giesbrecht, 1891)
• Triconia inflexa (Heron, 1977)
• Triconia similis (Sars G.O., 1918)