Place the toasted bread cubes into a standard loaf pan sprayed with nonstick spray and sprinkle chocolate chips evenly on top.
In a blender, combine soymilk, egg substitute, peanut butter, brown sugar, and salt. Process on medium speed until smooth. Pour the mixture over the bread cubes, making sure all the bread cubes are covered. Let stand 5 minutes.
Place dish in the oven and bake until pudding is firm, 45 to 50 minutes. Top with whipped topping and garnish with additional chocolate chips and chopped peanuts, if using. Slice, serve, and enjoy!