First, I preheat the oven to 350 °F (175 °C) and grease a 9×5 loaf pan (I often spritz with nonstick spray). This ensures the bread releases easily after baking.
In a medium bowl, I whisk together flour, baking soda, and salt. I set it aside so the dry mix is ready when the wet mixture is done—this helps avoid overmixing later.
I mash the ripe bananas until smooth, then stir in the peanut butter and cooled melted butter until well combined. This step builds the creamy, nutty core of the loaf.
Next I fold in the brown sugar, then crack in the egg and stir with the vanilla extract until everything is evenly blended.
I pour the wet mixture into the bowl with flour, and fold them together until just incorporated—being careful not to overmix, or the bread may be tough.
I transfer the batter into the prepared loaf pan and bake for 50 to 65 minutes (checking at 50) until a toothpick comes out clean. Then I let it cool in the pan 10 minutes, run a knife around the edges, remove, and finish cooling on a wire rack.