Preheat your oven to 350°F (175°C) and butter a baking dish to prevent sticking.
Combine sliced peaches, grated ginger, granulated sugar, cinnamon, and a pinch of salt in a large bowl. Toss gently to coat all the fruit evenly, then spread the mixture into your prepared baking dish.
In a separate mixing bowl, stir together flour, rolled oats, and brown sugar. Then, add the cold, cubed butter.
Using a pastry cutter, fork, or your fingers, cut the butter into the dry ingredients until the mixture resembles coarse crumbs with some pea-sized pieces.
Sprinkle the crumble evenly over the peach filling, covering it completely for a uniform topping.
Place the baking dish in your preheated oven and bake for about 40 minutes, or until the topping is golden brown and the filling is bubbling around the edges.
Remove the dish from the oven and let it cool for 10 minutes. The filling will thicken slightly as it cools, making it easier to serve.
Serve warm, optionally with a scoop of vanilla ice cream or a dollop of whipped cream, and enjoy the fragrant, juicy, and crispy dessert.