Preheat the oven to 325°F. Grease a 9x13-inch baking dish.
In a medium bowl, combine graham cracker crumbs and melted butter. Press the mixture firmly into the bottom of the prepared baking dish to form a crust.
Bake for 10 minutes, then remove from the oven and let cool slightly.
In a large mixing bowl, beat together the sugar and softened cream cheese until smooth and creamy.
Add the vanilla extract and mix well.
Add the eggs one at a time, mixing well after each addition.
Stir in the sour cream until fully combined.
Gently fold in the butterscotch chips.
Pour the cheesecake mixture over the cooled graham cracker crust and spread evenly.
Bake for 30-35 minutes, or until the center is set and the edges are lightly golden.
Remove from the oven and let cool to room temperature, then refrigerate for at least 4 hours or overnight for best results.
Cut into bars and serve chilled.