More approachable than a stirred Dry Martini and downright soft compared to a Naked Martini.
A Bradford is a Martini which is shaken rather than stirred. Like the Martini itself, the origin of the Bradford is lost in time. However, In Harry Johnson's 1900 edition of his Bartender's Manual he includes two Martini recipes – one simply titled "Martini Cocktail" and the other "Bradford à la Martini" – crucially the Martini is stirred while the Bradford is shaken.
Also see our Dry Martini page.