Preheat your oven to 350°F (175°C) and prepare a 9x9-inch baking pan by greasing it lightly or lining it with parchment paper.

In a mixing bowl, combine the all-purpose flour, brown sugar, and cinnamon. Cut in the softened butter until the mixture resembles coarse crumbs.

In a separate bowl, beat the softened cream cheese, granulated sugar, egg, and vanilla extract until smooth and creamy.

Pour the creamy mixture into the prepared baking pan, spreading it evenly across the bottom. Spoon the crumb mixture over the cream cheese layer.

Place the assembled cake in the preheated oven and bake for 40-45 minutes until the top is golden brown and a toothpick comes out clean.

Allow the cake to cool in the pan for about 10-15 minutes before transferring it to a wire rack to cool completely.