Preheat the oven to 325°F (163°C).
Combine graham cracker crumbs with melted butter and press firmly into the bottom of a springform pan to form the crust.
Melt the chopped white chocolate in the microwave at short intervals until smooth, stirring in between.
Beat cream cheese and granulated sugar together until creamy and smooth.
Gradually add sour cream, vanilla extract, and melted white chocolate to the cream cheese mixture, blending well.
Add the eggs one at a time, mixing gently until just combined to avoid overmixing.
Pour the filling over the prepared crust in the springform pan.
Bake the cheesecake for 50 to 60 minutes, or until the edges are set and the center is slightly jiggly.
Allow the cheesecake to cool inside the oven for one hour, then refrigerate for at least four hours before serving.