Preheat your oven to 375°F and lightly grease a 9x13-inch baking dish with butter or cooking spray. Set the prepared dish aside while you gather remaining ingredients and begin preparation.
In a large mixing bowl, combine the peeled and sliced apples with granulated sugar, brown sugar, flour, vanilla extract, cinnamon, and nutmeg. Gently toss until all apple slices are evenly coated with the sugar mixture and spices.
Pour the seasoned apples into your prepared baking dish, spreading them in an even layer. The apple oat crumble recipe requires this even distribution so every serving includes both fruit and topping equally.
In a separate medium bowl, combine oats, flour, softened butter, brown sugar, salt, and baking soda using a pastry cutter or fork. Mix until crumbly—the texture should resemble coarse sand with some pea-sized butter pieces remaining visible throughout.
Drizzle the honey over the oat mixture and gently stir until everything holds together slightly but remains chunky and textured. Spread this crumbly topping evenly across your apple filling layer.
Place the baking dish in your preheated oven and bake for 35 minutes until the topping turns golden brown and the filling bubbles at the edges. Remove from heat and cool for 5 minutes before serving.