01 - Preheat oven to 350°F. Generously grease a 9x13-inch baking dish with butter or cooking spray.
02 - Spread bread cubes evenly across prepared baking dish. Distribute 3 sliced bananas over the bread.
03 - Whisk eggs, milk, heavy cream, granulated sugar, vanilla extract, cinnamon, and salt in large bowl until fully incorporated and smooth.
04 - Pour custard mixture evenly over bread and bananas. Gently press bread down into liquid to ensure absorption. Let stand 15 minutes.
05 - Bake 45-50 minutes until golden brown and set with slight wobble in center. Remove from oven and cool slightly.
06 - While pudding bakes, melt butter in skillet over medium heat. Add brown sugar and cinnamon, stirring constantly until sugar dissolves and mixture bubbles.
07 - Add sliced bananas to sauce, cook 1-2 minutes until softened. Remove from heat, carefully add rum, return to heat, and cook 1 minute. Stir in vanilla and salt.
08 - Serve warm bread pudding topped with generous spoonfuls of Bananas Foster sauce.