A cultured person usually enjoys art, music, expensive restaurants, and other things considered fancy or educated.
An old lady sipping tea with one pinkie sticking out, wearing a flowered hat, and listing to Brahms (the classical composer) would be many people's idea of someone cultured. A cultured person is also called refined, genteel, civilized, and cultivated. Cultured people have good manners and etiquette. However, being cultured is in the eye of the beholder, because there are so many different cultures in the world. It's difficult to be cultured in more than one culture.