Preheat your oven to 350°F (175°C) and lightly grease a 9x9-inch baking dish.
In a large bowl, combine the canned peaches with 1/4 cup canned peach liquid, cinnamon, nutmeg, and vanilla extract, stirring until evenly coated. Pour the mixture, along with any juices, into the prepared baking dish.
In a separate bowl, whisk together the all-purpose flour, oats brown sugar, and cinnamon. Add the cold, cubed butter and blend using a pastry cutter until the mixture forms a crumbly texture with small butter pieces throughout.
Evenly distribute the crumble topping over the peaches, ensuring full coverage.
Bake for 30-35 minutes, or until the topping turns golden brown and the peach filling starts to bubble. Serve warm.