Which fish were the Romans particularly fond of breeding?

THEy liked pike.

This is protected to the east by the Punta della Madonna (with the nearby cliffs), under which lie the Pilatus Caves where the ancient Romans bred Muraena fish, and which have given birth to many picturesque local legends.

[From msnusers.com 2006 article, no longer online]

"Licker Fish" a kind of carp I think.

Wealthy Romans could obtain and breed a wide variety of seafood, but eels and mullet were popular. Also valued were turbot, and then oysters and other shellfish. (The legendary "licker fish" - maybe a carp, but it's not certain, from what I've read -- seems to have been snatched largely from the outlets of the Cloaca Maxima. The less said about that, the better.)

Average Romans had to rely on the famous garum sauce, about which we've had some questions before:


https://books.google.com/books?id=_5Tv8Q3S5W8C&pg=PA27&lpg=PA27&dq=Which+fish+were+the+Romans+particularly+fond+of+breeding?&source=bl&ots=E14f_Y4P8I&sig=_lFs7WnR7H1zrzclMWdY1F34WBc&hl=en&sa=X&ved=0ahUKEwis34ql-bTPAhXG3SYKHcyxD8sQ6AEIJjAC#v=onepage&q=Which%20fish%20were%20the%20Romans%20particularly%20fond%20of%20breeding%3F&f=false