Grease a 9x5x3-inch loaf pan; set aside. In a large mixing bowl stir together flour, sugar, baking powder, baking soda, and salt. Make a well in the center. In a medium mixing bowl combine beaten eggs, mashed bananas, oil, milk, and vanilla; mix well. Add egg mixture to flour mixture; stir just until combined. (The batter should be lumpy.) Fold in toasted coconut.
Pour batter into prepared loaf pan. Bake in a preheated 350° oven for 50 to 60 minutes, or until a toothpick inserted near the center comes out clean. Cool in pan on a wire rack for 10 minutes. Remove from pan; cool thoroughly on a wire rack. Wrap and store overnight before slicing.