The word dish has a variety of meanings pertaining to what goes on the table. There are the vessels from which food is served ("potatoes are in the covered dish there"); the contents of that vessel ("a dish of green beans"); and food prepared in a particular way ("the recipe for a dish my grandmother used to make").
But if we push our chairs back and consider other meanings of the word, there's a curious one that we may perhaps be able to blame the ol' Bard himself for:
[Mark Antony] will to his Egyptian dish again; then shall the sighs of Octavia / blow the fire up in Caesar ….
— Antony & Cleopatra, 1607
Mark Antony's Egyptian "dish" here is of course Cleopatra. (The speaker is speculating that Mark Antony will betray his wife, Octavia, for Cleopatra, which will upset Octavia and her brother Caesar.)
Though Shakespeare may have been the first to try out the "an attractive or sexy person" meaning, the Oxford English Dictionary reports no examples of this use of dish between his time and the 1920s. In that gap of centuries, dish developed meanings in a similar vein, however, among them "something one particularly enjoys," "something favored," and "gossip":
In the autumn, new trials and experiences came to Meg. Sallie Moffat renewed her friendship, was always running out for a dish of gossip at the little house….
— Louisa May Alcott, Little Women, 1868-9