Preheat your oven to 350°F (175°C). Grease a loaf pan.
In a bowl, whisk together flour, baking powder, baking soda, salt, and cinnamon.
In another bowl, mix melted butter, granulated sugar, and brown sugar until well combined.
Add eggs and vanilla extract to the butter mixture and mix well.
Gradually add the dry ingredients to the wet ingredients, alternating with milk. Mix until just combined.
Fold in the chopped apples.
Pour the batter into the prepared loaf pan and smooth the top.
Bake for 60 minutes or until a toothpick inserted into the center comes out clean.
Let the bread cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.