Preheat your oven to 325°F (165°C). Grease a 9x5 inch loaf pan with butter or non-stick spray and line with parchment paper, letting it hang over both long sides to create a sling for easy removal.
In a medium bowl, whisk together the all-purpose flour, baking soda, and salt until evenly combined. Set aside.
In a large mixing bowl, whisk together the melted butter, brown sugar, and granulated sugar vigorously for 1-2 minutes until the mixture looks thick and paste-like.
Add the mashed bananas to the butter-sugar mixture and stir to combine. Add the eggs, vanilla extract, and Greek yogurt. Mix until everything is uniform and evenly blended. Scrape down the sides of the bowl.
Pour the dry ingredient mixture into the wet bowl. Using a spatula or wooden spoon, fold gently until no flour streaks remain. Do not overmix — stop as soon as the flour disappears. A few lumps are perfectly fine.
Fold in the ¾ cup of mini chocolate chips with just a few slow strokes. Pour and scrape the batter into the prepared loaf pan and smooth the top with the back of your spatula.
Scatter the reserved handful of mini chocolate chips evenly across the top of the batter. Slide the pan into the preheated oven and bake for 60-75 minutes. Check for doneness at 60 minutes by inserting a toothpick into the center — it should come out with just a few moist crumbs. If wet batter remains, bake in 5-minute increments and test again.
Let the banana bread rest in the pan on a wire rack for 20-30 minutes. Then lift it out using the parchment sling and allow it to cool completely on the rack before slicing.