Preheat the oven to 350 degrees. Coat a large loaf pan with cooking spray.
Prepare the banana bread by whisking the flour, sugar, baking soda, and salt together in a large bowl until well combined.
In a separate bowl whisk together the well-mashed banana, yogurt, eggs, butter, and vanilla until very well combined.
Lightly fold the banana mixture into the flour mixture with a rubber spatula until just combined and the batter looks thick and chunky–don't over-mix!
Scrape the mixture into the prepared loaf pan.
Place into the oven and bake for 50-60 minutes, or until a tester inserted in the center comes out clean.
Remove from the oven and cool in the pan for 5 minutes, then transfer to a wire rack to cool completely.
Prepare the brown butter glaze by measuring and sifting the powdered sugar into a mixing bowl, set aside.
Brown the butter in a small saucepan over medium heat, swirling pan occasionally.
Remove from heat when the golden-brown flecks begin to appear in the center of the foamy bubbles.
Carefully pour browned butter over powdered sugar in a mixing bowl, use a rubber spatula to scrape any excess butter and browned bits from the pan.
Add the cream and stir mixture until smooth and creamy. Add more if needed.
Glaze the banana bread once it has cooled completely by placing some parchment paper on the table, then place the cooling rack with the banana bread loaf on top of the parchment.
Drizzle the brown butter glaze over the top of the loaf, to taste.
Allow to set for a few minutes before slicing and serving with ice-cold milk. Enjoy.