| Family | Autognetidae Grandjean, 1960
| 9 66 | Genera Species |
| Family | Banksinomidae Kunst, 1971 ⇒ Thyrisomidae
| 0 0 | Genera Species |
| Family | Chaviniidae Balogh, 1983
| 0 0 | Genera Species |
| Family | Cuneoppidae Balogh, 1983 ⇒ Cuneoppiidae
| 0 0 | Genera Species |
| Family | Decoroppiidae Mahunka, 2009
| 0 0 | Genera Species |
| Family | Enantioppiidae Balogh, 1983
| 0 0 | Genera Species |
| Family | Epimerellidae Ayyildiz & Luxton, 1989
| 3 14 | Genera Species |
| Family | Granuloppiidae Balogh, 1983
| 11 50 | Genera Species |
| Family | Hexoppiidae Balogh, 1983
| 0 0 | Genera Species |
| Family | Luxtoniidae Mahunka, 2001
| 0 0 | Genera Species |
| Family | Lyroppiidae Balogh, 1983
| 1 6 | Genus Species |
| Family | Machadobelbidae Balogh, 1972
| 2 19 | Genera Species |
| Family | Machuellidae Balogh, 1983
| 2 20 | Genera Species |
| Family | Oppiidae Sellnick, 1937
| 254 2509 | Genera Species |
| Family | Papillonotidae Balogh, 1983
| 1 4 | Genus Species |
| Family | Platyameridae Balogh & Balogh, 1983
| 2 20 | Genera Species |
| Family | Quadroppiidae Balogh, 1983
| 4 63 | Genera Species |
| Family | Rioppiidae Balogh & Mahunka, 1977
| 1 2 | Genus Species |
| Family | Sternoppiidae Balogh & Mahunka, 1969
| 2 20 | Genera Species |
| Family | Teratoppiidae Balogh, 1983
| 6 30 | Genera Species |
| Family | Thyrisomidae Grandjean, 1953
| 8 61 | Genera Species |
| Family | Trizetidae Ewing, 1917
| 1 1 | Genus Species |
| Family | Tuparezetidae Balogh, 1972
| 1 3 | Genus Species |