Step 1: Prep Your Pan & Crust: Preheat your oven to 325°F (163°C). Lightly grease a 9-inch springform pan and line the bottom with parchment paper. In a medium bowl, combine graham cracker crumbs, melted butter, and 1/4 cup granulated sugar. Mix until it looks like wet sand. Press firmly into the bottom of the prepared pan. Bake for 8-10 minutes until lightly golden. Remove and let cool completely.
Step 2: Craft Your Strawberry Swirl: In a small saucepan, combine chopped strawberries, 2 tablespoons granulated sugar, and lemon juice. Cook over medium heat, stirring occasionally, for about 5 minutes until strawberries soften and release juices. In a tiny bowl, mix 1 tsp cornstarch with 1 tbsp water to create a slurry. Pour this into the simmering strawberries and stir constantly for another 2-3 minutes until the sauce thickens. Let cool completely; optional to strain for a smoother sauce.
Step 3: Whip Up the Filling: In a large mixing bowl (or stand mixer), beat softened cream cheese and 1 cup granulated sugar until smooth and creamy. Scrape down sides. Add large eggs, one at a time, mixing just until incorporated (do not overmix). Gently stir in sour cream, vanilla extract, and finally, your slightly cooled melted white chocolate. Ensure white chocolate is cool enough not to scramble eggs but still liquid enough to blend.
Step 4: Swirl & Bake: Pour the creamy cheesecake batter evenly over your cooled graham cracker crust. Drop spoonfuls of your cooled strawberry sauce randomly over the top of the cheesecake batter. Grab a toothpick or a butter knife and gently swirl the strawberry sauce through the white cheesecake, creating beautiful ribbons. Do not overmix.
Step 5: The Water Bath Secret: Place your springform pan inside a larger roasting pan. Carefully pour hot water into the roasting pan, ensuring it comes about halfway up the sides of your springform pan. Carefully transfer the whole setup to your preheated oven. Bake for 55-65 minutes, until the edges are set and the center has a slight jiggle.
Step 6: Cool & Chill: Once baked, turn off the oven, crack the door open slightly, and let the cheesecake cool inside for 1 hour. Carefully remove the cheesecake from the water bath and roasting pan. Let it cool completely on a wire rack at room temperature. Once cool, cover loosely with plastic wrap and transfer to the refrigerator for at least 6 hours, or overnight. When ready to serve, remove springform pan sides and garnish with whipped cream, fresh strawberry slices, and white chocolate shavings, if desired.