Oysters Rockefeller was a rich Earth food. It was made of a combination of oysters, spinach, parsley, and Parmesan cheese, topped with a rich white sauce of butter, flour, and milk, among other things.
On their first date in 2374, Odo and "Lola Chrystal", supposedly a Kira Nerys-lookalike hologram, but in fact Kira herself, had oysters Rockefeller with a 1955 Dom Pérignon. (DS9: "His Way")
According to the Star Trek Encyclopedia (4th ed., vol. 2, p. 117), this dish was "named for a wealthy family on 20th-century Earth."