| Scientific name | Authorship | Rank | Status | Images | |
|---|---|---|---|---|---|
| Hypenodes prionodes | Fletcher D. S., 1961 | species | Accepted | ||
| Hyperbola bradleyi | Gozmány, 1966 | species | Accepted | ||
| Hyperbola chloristis | (Meyrick, 1908) | species | Accepted | ||
| Hyperbola hemispina | Gozmány, 1969 | species | Accepted | ||
| Hyperbola hesperis | Gozmány, 1967 | species | Accepted | ||
| Hyperbola homogena | Gozmány, 1967 | species | Accepted | ||
| Hyperbola lehmanni | Gaedike, 2014 | species | Accepted | ||
| Hyperbola mellichroa | Gozmány, 1968 | species | Accepted | ||
| Hyperbola minutissima | Mey, 2019 | species | Accepted | ||
| Hyperbola moschias | (Meyrick, 1914) | species | Accepted | ||
| Hyperbola pastoralis | (Meyrick, 1931) | species | Accepted | ||
| Hyperbola phocina | (Meyrick, 1908) | species | Accepted | ||
| Hyperbola primoti | Gozmány, 1966 | species | Accepted | ||
| Hyperbola sexspinosa | Gaedike, 2014 | species | Accepted | ||
| Hyperbola somphota | (Meyrick, 1920) | species | Accepted | ||
| Hyperbola zicsii | Gozmány, 1965 | species | Accepted | ||
| Hypercallia haematella | (Felder & Rogenhofer, 1875) | species | Accepted | ||
| Hypercallia sincera | Meyrick, 1909 | species | Accepted | ||
| Hypercallia subreticulata | Walsingham, 1881 | species | Accepted | ||
| Hypercodia wheeleri | Pinhey, 1968 | species | Accepted | ||
| Hyperfrontia cinerosa | (Bethune-Baker, 1911) | species | Accepted | ||
| Hyperfrontia direae | Berio, 1962 | species | Accepted | ||
| Hyperfrontia elaphrodes | (Fletcher D. S., 1961) | species | Synonym | ||
| Hyperfrontia kitenga | Berio, 1977 | species | Accepted | ||
| Hyperfrontia limbata | Berio, 1962 | species | Synonym |