Beat the Cream Cheese: In a large bowl, beat the softened cream cheese and granulated sugar until smooth and creamy.
Add Eggs: Beat in the eggs, one at a time, just until blended.
Incorporate Other Ingredients: Mix in the mashed bananas, vanilla extract, sour cream, and banana cream pudding mix until well combined.
Pour over Crust: Spread the cheesecake filling over the cooled crust.