Heat the oven to 350°F (175°C). Grease a 9x5-inch loaf pan or line it with parchment.
Blend the bananas, cottage cheese, eggs, brown sugar, melted butter and vanilla for about 30 seconds, until completely smooth.
Whisk the flour, baking soda, cinnamon and salt in a large bowl.
Pour the wet mixture into the dry ingredients and fold gently, just until no flour streaks remain.
Spread the batter in the pan. Bake 55 to 65 minutes, until a toothpick in the center comes out clean. Tent loosely with foil for the last 15 to 20 minutes if the top browns too fast.
Cool in the pan 10 minutes, then lift out and cool on a rack at least 30 minutes before slicing.