Put oven rack in middle position and preheat oven to 375°F. Line muffin cups with liners.
Whisk together flour, baking powder, and salt in a bowl. Whisk together bananas, butter, sugar, egg, vanilla, and 1/2 cup coconut in a large bowl until combined well, then fold in flour mixture until flour is just moistened.
Divide batter among lined muffin cups and sprinkle with remaining 1/4 cup coconut. Bake until muffins are puffed and golden, about 25 minutes. Transfer muffins to a rack and cool slightly.
Recipe by Baker Street at https://bakerstreet.tv/2012/03/muffin-monday-banana-coconut-muffins/