Preheat your oven to 375°F (190°C). In a large mixing bowl, combine the sliced peaches with honey or maple syrup and lemon juice, gently tossing to coat evenly. Spread the prepared peaches into a baking dish in an even layer.
In a separate bowl, mix the oats, flour, and brown sugar. Add the cold butter pieces and use your fingertips or a pastry cutter to work them into the dry ingredients until the mixture resembles coarse crumbs. This creates a crunchy, buttery topping.
Sprinkle the oat mixture evenly over the peaches, covering all the fruit. Gently press down on the topping to help it settle and ensure even baking.
Place the baking dish in the oven and bake for 40 minutes, or until the topping is golden brown and the peaches are bubbling around the edges. Kitchen will fill with the warm aroma of caramelized fruit and toasted oats.
Remove the dish from the oven and let it cool slightly before serving. The topping should be crunchy, and the peaches tender and juicy beneath the crisp surface.