In a large bowl, whisk together the flour, sugar, baking powder, and salt.
In another bowl, combine the beaten egg, milk, and melted butter.
Add the egg mixture to the dry ingredients, stirring until just combined.
Fold in the mashed bananas gently.
Heat a non-stick skillet over medium heat and grease it lightly.
Pour 1/4 cup of batter onto the skillet for each pancake.
Cook until bubbles appear on the surface, then flip and cook until golden brown on the other side.
Serve warm with your favorite toppings.