Preheat oven to 350F. Line two bread pans with parchment paper.
In a small bowl combine brown sugar, cinnamon and nutmeg. Set aside 4 tablespoons of the brown sugar mixture for topping the bread. Peel, core and grate your apples and then toss them in your brown sugar mixture until evenly coated. Set aside.
In the bowl of a stand mixer cream together sugar and butter. Once the butter and sugar are creamed add the eggs and vanilla. While this is mixing, stir together your flour and baking soda, then slowly add it to the bowl of your mixer. Add milk and then mix until your batter just comes together scraping down the sides of the bowl as necessary. Add your grated apples and mix on low until the apples are spread out throughout your batter. Do not overmix.
Pour the batter into the two bread pans dividing evenly. Top the batter on each loaf with the brown sugar mixture that you set aside. Put in the oven for 50-60 minutes or until a toothpick inserted into the center of the loaf comes out clean. Leave to cool in the pan for 10 minutes, then remove from the pan and leave to cook on a wire rack for another 10 minutes. This bread will slice the cleanest once cool but is so yummy enjoyed warm! Enjoy!