Copenhagen may be the vaunted home of new Nordic cuisine, plating the kind of conceptual meals you respect yet rarely love. But when you’ve had enough of that prickly feast of Arctic bramble, Funen offers up a more seductive kind of down-home Danish meal. The Michelin-starred Falsled Kro, an inn near Faaborg, is famous for its tasting menus, but the more rustic Rudolf Mathis, on the other side of the island, draws locals for the freshest North Sea catch. It is the sort of meal Andersen’s starving Little Match Girl might have dreamed of as she froze into a shiny block of ice, proof that not every fairy tale has a happy ending.