Preheat the oven to 350°F (175°C) and line a baking sheet with parchment paper or a silicone mat.
Cream softened butter, granulated sugar, and brown sugar for 2-3 minutes. Beat in the egg and vanilla. Stir in the banana pudding mix.
In a separate bowl, whisk flour, baking powder, and salt, then gradually add to the wet ingredients. Gently fold in diced strawberries and bananas.
Drop spoonfuls of dough onto the prepared sheet, spacing 2 inches apart. Bake for 10-12 minutes until golden on the edges. Let cool on the sheet for 5 minutes before transferring to a wire rack.
Beat softened cream cheese until smooth. Add powdered sugar and vanilla, mixing until combined. For a lighter dip, stir in heavy cream.
Arrange cooled cookies on a platter and serve with the cheesecake dip. Garnish with fresh fruit or graham cracker crumbs.