Preheat oven to 350°F (175°C) and grease a muffin tin or line with paper liners.
In a large bowl, mix together mashed bananas, sourdough starter, melted butter or oil, sugar, egg, and vanilla extract.
Combine dry ingredients: In a separate bowl, whisk together flour, baking soda, salt, and cinnamon.
Add dry ingredients to the wet mixture, and stir until just combined. If using, fold in chocolate chips or nuts.
Scoop the batter into muffin cups, filling each about 2/3 full.
Bake for 18-20 minutes, or until a toothpick comes out clean. Let cool for 5 minutes before transferring to a wire rack.