Preheat your oven to 350°F. Use a 9x5-inch loaf pan, spray it with non-stick spray, and optionally line with foil or parchment paper for easy removal, then spray again.
Brown Sugar/Cinnamon Mixture:
Combine 1/3 cup brown sugar and 1 teaspoon cinnamon in a bowl. Set aside.
Apple Bread Loaf:
Whisk together 1 1/2 cups flour and 1 3/4 teaspoons baking powder in another bowl. Set aside.
In a medium bowl, use an electric mixer to beat 2/3 cup white sugar and 1/2 cup softened butter until creamy.
Add 2 eggs, one at a time, beating well after each addition, then mix in 1 1/2 teaspoons vanilla extract.
Gradually blend in the flour mixture, then mix in 1/2 cup milk until smooth.
Chopped Apple Mixture:
Toss the chopped apples with 2 tablespoons white sugar and 1 teaspoon cinnamon. Set aside for layering.
Assembling the Layers:
Pour half the batter into the prepared loaf pan, then top with half the apple mixture.
Sprinkle with half the brown sugar/cinnamon mix. Repeat with remaining batter and apples, and top with the rest of the brown sugar/cinnamon mixture.
Swirl a knife through the batter for a marbled effect.
Bake for about 60 minutes, or until a toothpick inserted in the center comes out clean.
Old-Fashioned Creme Glaze:
Mix 1/2 cup powdered sugar with 1 to 3 tablespoons milk or cream until smooth. Microwave for 10 seconds if needed for a pourable consistency.
Let the loaf cool in the pan for 15 minutes, then remove and cool completely on a rack. Drizzle with the glaze.