01 - Preheat oven to 350°F. Line a 9-inch square baking pan with parchment paper, leaving an overhang for easy removal.
02 - In a medium bowl, combine graham cracker crumbs, sugar, and melted butter until evenly moistened. Press firmly into the bottom of the prepared pan. Bake for 8 minutes, then set aside to cool slightly.
03 - Combine raspberries, sugar, and lemon juice in a small saucepan. Cook over medium heat, stirring and mashing occasionally, until raspberries break down and mixture thickens, about 5 minutes. Strain through a fine mesh sieve to remove seeds. Allow to cool completely.
04 - Beat cream cheese and sugar with an electric mixer until smooth and creamy, scraping down sides as needed. Add eggs one at a time, mixing thoroughly after each addition. Blend in vanilla extract. Gently fold in chopped white chocolate.
05 - Pour cheesecake filling over the cooled crust. Drop spoonfuls of raspberry sauce onto the surface. Use a knife or skewer to gently swirl the sauce into the filling for a marbled effect.
06 - Bake for 35 to 37 minutes, until edges are set and center is slightly jiggly. The cheesecake will continue to set as it cools.
07 - Let bars cool completely at room temperature, approximately 1 hour. Refrigerate for at least 2 hours until fully chilled before slicing into 16 bars.