Fossil insects from the Triassic-Jurassic boundary of England could provide an important resource for investigating the severity of extinction events in the terrestrial realm of the uppermost Triassic. However, the fossil record is poorly understood for this period even though there are abundant historical collections. Many of these collections are still in need of taxonomic revision before they can be used to reconstruct past entomofaunas and make inferences about diversity change through time. This paper is part of a larger project to revise the taxonomy of insects across the Triassic-Jurassic boundary of England to better understand changes in insect diversity through the Triassic-Jurassic boundary and associated extinction period. Herein, the damsel-dragonfly family Liassophlebiidae Tillyard, 1925 is revised and an additional specimen from the Early Jurassic of Antarctica is included. Rossiphlebia new genus is erected for Liassophlebia jacksoni Zeuner, 1962; L. batheri Tillyard, 1925 is considered nomen dubium and another specimen originally attributed to L. batheri is identified as L. withersi Tillyard, 1925. Liassophlebia (?) clavigaster Tillyard, 1925 and L. (?) hopei (Brodie, 1845) are considered incertae sedis at the generic level. Liassophlebia gigantea Zeuner, 1962 is based on a fragmentary specimen but has several unique key characteristics. We redescribe it in Anglophlebia new genus and tentatively in Anglophlebiidae new family in Heterophlebioptera. Also discussed are L. magnifica Tillyard, 1925, L. withersi, and L. pseudomagnifica Whalley, 1985, which are redescribed with updated figures. Caraphlebia antarctica Carpenter, 1969 was originally described from the Early Jurassic of Antarctica as being closely related to Liassophlebia; it is herein confirmed in Selenothemistidae Handlirsch, 1939.