Melt the butter over medium heat and stir until it turns golden and nutty, about 5–7 minutes. Allow it to cool slightly.
Preheat the oven to 350°F and line a 9x5-inch loaf pan with parchment paper.
Mash the ripe bananas in a bowl. Mix in the brown sugar, browned butter, eggs, and vanilla extract until well combined.
In a separate bowl, whisk together the all-purpose flour, baking soda, salt, and cinnamon (if using).
Combine the wet and dry ingredients, mixing until just incorporated. Fold in the chocolate chips.
Pour the batter into the prepared loaf pan and top with extra chocolate chips.
Bake for 55–65 minutes, or until a toothpick inserted into the center comes out mostly clean.
Allow the banana bread to cool completely before slicing and serving.