In a mixing bowl, combine the graham cracker crumbs and melted butter until well mixed. Press this mixture firmly into the bottom of a 9-inch square baking dish to form the crust.
In another bowl, beat the softened cream cheese until smooth and creamy. Slowly add in the chilled coconut milk, powdered sugar, and vanilla extract, mixing until fully combined and smooth.
Fold in the sweetened shredded coconut gently into the cream cheese mixture until evenly distributed.
Pour the coconut mixture over the prepared crust and spread it out evenly using a spatula.
Sprinkle the toasted coconut flakes on top for added texture and flavor.
Refrigerate the dessert for at least 4 hours, or until set. For best results, allow it to chill overnight.
Once set, cut into squares and serve cold. Enjoy your delicious no-bake coconut dessert!