Combine the first 8 ingredients in a large bowl; beat at medium speed of a mixer until well-blended. Stir in bread cubes. Divide mixture evenly among 8 (8-ounce) ramekins coated with cooking spray. Cover and chill 3 hours.
Uncover and bake at 350° for 45 minutes or until pudding is set. Sprinkle with powdered sugar, and serve warm.