_- Amyellidae
- Anocellidae
- Anonymidae
- Boniniidae
- Callioplanidae
- Candimboididae
- Cestoplanidae
- Chromoplanidae
- Cryptocelidae
- Didangiidae
- Diposthidae
- Discocelidae
- Enantiidae
- Euplanidae
- Euryleptidae
- Faubelidae
- Gnesiocerotidae
- Ilyplanidae
- Laidlawiidae
- Latocestidae
- Leptoplanidae
- Notoplanidae
- Palauidae
- Pericelidae
- Planoceridae
- Plehniidae
- Pleioplanidae
- Polyposthiidae
- Prosthiostomidae
- Pseudocerotidae
- Pseudostylochidae
- Stylochidae
- Stylochocestidae
- Stylochoididae
- Stylochoplanidae
- Theamatidae