Superfamily Fungiicae Dana 1846 (stony coral)
Parent taxon: Fungiina according to J. W. Wells 1956
Sister taxa: Acrosmiliidae, Agariciicae, Andemantastraeidae, Astraeomorphidae, Astraraeidae, Dermosmiliidae, Fungiacyathidae, Funginellidae, Haplaraeidae, Kobyastraeidae, Pachyphyllidae, Poriticae, Procyclolitidae, Rhipidastraeidae, Siderastreidae, Synastraeidae, Thamnasteriidae
Subtaxa: Cyclolitidae, Fungiidae, Micrabaciidae
Ecology: stationary intermediate-level epifaunal microcarnivore-photosymbiotic