Preheat oven to 375°F. Grease an 8x8-inch baking pan.
Place the bread cubes and bananas into the prepared baking pan. Set aside.
4 cups cubed hearty bread, 2 bananas
In a medium bowl, lightly beat the eggs. Add the milk, sugar, melted butter, vanilla, cinnamon, and salt. Pour over the bread/banana mixture and stir to coat.
3 large eggs, 2 cups whole milk, ½ cup granulated sugar, ¼ cup unsalted butter, 2 teaspoons pure vanilla extract, ½ teaspoon ground cinnamon, ½ teaspoon kosher salt
Bake, uncovered, for about 40 minutes.
For the glaze, combine the glaze ingredients in a medium bowl, whisk to combine, and drizzle over top of the baked pudding. Slice the bread pudding into 8 equally-sized pieces and serve.
1 cup powdered sugar, 1 teaspoon pure vanilla extract, 1 tablespoon water