BAKE in 350°F oven for 8 to 10 minutes until set. Combine pudding mix and brown sugar in saucepan. Add milk; cook and stir over medium heat until mixture comes to a boil and is thickened. Allow to cool. Beat cream cheese until light and fluffy. Add eggs, beating after each addition. Stir in bananas, vanilla and cooled pudding. Centre springform pan on a large square piece, about 14 inch, of foil. Press foil up against sides of pan. Set pan in larger pan.