Prepare the Cinnamon Sugar: In a small bowl, mix together the sugar and ground cinnamon. Set aside.
Heat the Butter: In a medium skillet, melt the butter over medium heat.
Cook the Bananas: Once the butter is melted and slightly bubbly, add the sliced bananas in a single layer. Cook for about 2-3 minutes on one side, or until they are golden brown.
Add Cinnamon Sugar: Flip the banana slices, then sprinkle the cinnamon-sugar mixture evenly over the bananas. Continue to cook for another 2-3 minutes, until the bananas are caramelized and soft.
Optional Flavor: Stir in the vanilla extract and a pinch of salt, tossing the bananas gently to coat them with the caramelized mixture.
Serve: Remove the bananas from the heat and serve immediately. They can be enjoyed on their own, or as a topping for pancakes, waffles, ice cream, or yogurt.