Preheat oven to 325°F (160°C).
Mix crushed graham crackers and melted butter; press into the bottom of a 9-inch springform pan to form the crust.
In a small saucepan, cook strawberries and 1/4 cup sugar over medium heat until soft and syrupy, about 10 minutes. Set aside to cool.
In a large bowl, beat cream cheese until smooth. Add melted white chocolate, 3/4 cup sugar, and vanilla extract; mix well.
Add eggs one at a time, mixing just until incorporated.
Pour half of the cream cheese mixture over the crust. Spoon half of the strawberry mixture over the top. Repeat layers.
Bake for 55-60 minutes, or until the center is almost set. Cool on a wire rack for 10 minutes. Run a knife around the edge of the pan to loosen the cheesecake; cool for 1 hour longer. Refrigerate overnight.
Garnish with whipped cream and fresh strawberry slices before serving.