We don't have synonyms for finfish yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are finish, Finnish and pinfish.
(n) :
(informal) Clipped compound of finned fish, as in e.g. ray-finned fish; used to distinguish them from shellfish, cartilaginous fish and other similar aquatic creatures customarily used as food.
(n) :
Any fish, but especially fish other than flatfish
(n) :
(informal) Clipped compound of finned fish, as in e.g. ray-finned fish; used to distinguish them from shellfish, cartilaginous fish and other similar aquatic creatures customarily used as food.
(n) :
Any fish, but especially fish other than flatfish