Whisk together remaining ingredients, except for bread, of course.

Cut a pocket in each bread slice by almost cutting each slice in half, but leaving one edge intact. Arrange a layer of banana slices inside the bread pocket. In baking dish, arrange bread pockets in a single layer and pour egg mixture over them. Soak for 15 minutes, turning over once or twice.

In a 12-inch skillet melt butter over low heat and cook stuffed bread until golden. Serve with maple syrup.