Preheat the oven to 350°F. Combine graham cracker crumbs and melted butter in a medium bowl, then press firmly into the bottom of a 9-inch springform pan. Bake for 8 minutes and set aside to cool.
Beat softened cream cheese and 1 cup sugar in a large bowl until smooth and creamy. Add eggs one at a time, mixing well after each addition.
Blend in vanilla extract, vanilla bean paste, and sour cream until the filling is fully combined and silky smooth.
Pour the cheesecake filling over the cooled crust and smooth the top. Bake at 350°F for about 50 minutes until the center is just set and slightly jiggly.
Turn off the oven and leave the cheesecake inside with the door cracked for 15 minutes, then transfer to a cooling rack. Refrigerate for at least 4 hours or overnight until chilled.
Sprinkle 1 cup sugar evenly over the chilled cheesecake before serving. Use a sugar torch or broiler to caramelize the topping until golden brown, watching carefully to avoid burning.
Optional: melt sugar on a silpat-lined sheet, let cool, and break into shards for decorative topping.