Slice loaf of bread into 1-inch diagonal slices. Arrange them on a shallow dish. Set aside.
Pour milk in a saucepan with sugar and the cinnamon stick and bring to a boil. Turn off the heat the moment it starts to boil and let stand for 5 minutes.
Discard the cinnamon and then pour the milk over the bread. Let the bread soak in the milk mixture for an hour.
Beat the eggs in a shallow dish. Set aside.
Heat enough oil to come ½ inch up the sides of a large frying pan over medium high heat. With a large spatula (the bread will be overly soft), carefully coat slices of bread one at a time with the beaten eggs.
Fry the slices in the preheated pan until golden brown, about 2-3 minutes per side. Drain toasts on plates lined with paper towels.
Serve sprinkled with sugar and cinnamon or with vanilla ice cream.