Preheat your oven to 350°F (175°C) and grease a loaf pan.

In a saucepan, melt the unsalted butter over medium heat until golden brown and fragrant. Set aside to cool slightly.

In a mixing bowl, mash the overripe bananas until smooth with some small chunks remaining.

Add the browned butter, sugar, eggs, and vanilla to the bananas; whisk until well combined.

In another bowl, whisk together flour, baking soda, cinnamon, and salt.

Gently fold the dry ingredients into the wet mixture until just combined; avoid overmixing.

Pour the batter into the prepared loaf pan and bake for about 60 minutes or until a toothpick inserted in the center comes out clean.