Preheat oven to 350°F (175°C). Line an 8x8-inch baking pan with parchment paper, leaving an overhang for easy removal.
In a medium bowl, mix graham cracker crumbs, ¼ cup sugar, and melted butter until well combined. Press the mixture firmly into the bottom of the pan to create an even crust.
In a large bowl, beat softened cream cheese until smooth. Add ½ cup sugar, sour cream, and vanilla extract; mix until well combined. Add eggs one at a time, beating on low speed after each addition until just blended. Pour over the crust and spread evenly.
Bake for 25-35 minutes, or until the center is set but still slightly jiggly. Let cool completely in the pan on a wire rack.
In a small saucepan, combine chopped strawberries, 5 tablespoons sugar, water, lemon juice, and cornstarch. Cook over medium heat, stirring frequently, until the mixture thickens, about 12-15 minutes. Let cool completely.
Once cooled, spread the strawberry topping evenly over the cheesecake layer. Melt white chocolate chips in a microwave-safe bowl, stirring every 15 seconds until smooth. Drizzle over the strawberry topping.
Refrigerate for at least 4 hours or overnight to set. Once chilled, lift the cheesecake from the pan using the parchment overhang and cut into bars.