Preheat your oven to 350°F (175°C).
In a medium bowl, combine graham cracker crumbs, granulated sugar, and melted butter. Press into the bottom of an 8x8-inch baking pan lined with parchment paper.
In a large mixing bowl, beat softened cream cheese until smooth. Add pumpkin puree, brown sugar, eggs, vanilla extract, and pumpkin pie spice. Mix until fully combined and silky. Pour over the prepared crust.
In a separate bowl, combine all-purpose flour, rolled oats, cold cubed butter, and brown sugar. Mix until crumbly. Sprinkle over the cheesecake layer.
Bake for about 45 minutes or until the center is set. Check for doneness by gently shaking the pan.
Allow to cool completely at room temperature.
Refrigerate for at least two hours before serving.