| Scientific name | Authorship | Rank | Status | Images | |
|---|---|---|---|---|---|
| Hypena zyzzybae | Lödl, 1994 | species | Accepted | ||
| Hypendalia microscopica | Berio, 1962 | species | Accepted | ||
| Hypenodes haploa | Fletcher D. S., 1961 | species | Accepted | ||
| Hypenodes leucoglypta | Hacker & Saldaitis, 2021 | species | Accepted | ||
| Hypenodes nigerrimalis | (Fryer, 1912) | species | Accepted | ||
| Hypenodes nigricolora | Hacker, 2019 | species | Accepted | ||
| 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 |