Banana Pudding Bread Pudding is a rich and decadent  no bananas added dessert that combines the creamy, nostalgic flavors of banana pudding with the comforting, custardy texture of bread pudding. It starts with chunks of soft buttery brioche bread that soak up a mixture of milk, eggs, sugar, and vanilla.  The banana pudding bread pudding is then topped with crunchy vanilla waffles and sweet white chocolate syrup.