01 - Preheat oven to 350°F. Generously grease a 9x13-inch baking pan with cooking spray or butter.
02 - In a large mixing bowl, combine strawberry cake mix, eggs, vegetable oil, and water. Beat with electric mixer on medium speed for 2 minutes until smooth and well incorporated. Spread batter evenly into prepared pan.
03 - In a separate bowl, beat softened cream cheese and butter together until creamy and smooth. Add powdered sugar and vanilla extract, continue mixing until fluffy and no lumps remain.
04 - Drop spoonfuls of cream cheese mixture randomly over the cake batter, leaving spaces between dollops.
05 - Scatter chopped strawberries and white chocolate chips over the entire surface. Sprinkle shredded coconut evenly on top if desired.
06 - Using a butter knife or skewer, gently swirl through the layers in a figure-8 or zigzag pattern to marble the cream cheese, batter, and toppings. Avoid overmixing to preserve distinct swirls.
07 - Bake for 40 to 45 minutes until edges are lightly golden and center is just set. A toothpick inserted should come out with moist crumbs but not wet batter.
08 - Allow cake to cool completely in the pan, approximately 1 to 2 hours. Slice into 12 squares and serve at room temperature or chilled.