01 - Preheat oven to 350°F. Grease a 9x13-inch baking dish with butter or cooking spray.
02 - Spread bread cubes evenly in the prepared baking dish. Arrange 3 sliced bananas over the bread.
03 - In a large bowl, whisk together eggs, milk, heavy cream, granulated sugar, vanilla extract, cinnamon, and salt until fully combined and smooth.
04 - Pour custard mixture evenly over bread and bananas. Gently press bread down to ensure even absorption. Let stand for 15 minutes to allow bread to soak thoroughly.
05 - Bake for 45-50 minutes until golden brown and set but still slightly wobbly in the center. Remove from oven and allow to cool slightly while preparing sauce.
06 - While pudding bakes, melt butter in a skillet over medium heat. Add brown sugar and cinnamon, stirring constantly until sugar dissolves and mixture begins to bubble.
07 - Add sliced bananas to the skillet and cook for 1-2 minutes until just softened. Carefully add rum, remove from heat if using an open flame, then return to heat and cook for 1 additional minute.
08 - Stir in vanilla extract and pinch of salt. Serve warm bread pudding topped with generous spoonfuls of Bananas Foster sauce.