Prepare the Filling
In a small bowl, combine the softened cream cheese, brown sugar, and cinnamon. Mix until smooth and creamy.
Assemble the Roll-Ups
Using a rolling pin, gently flatten each slice of bread.
Spread a thin, even layer of the cinnamon cream cheese filling over each slice.
Roll the bread tightly into a log and set aside.
Make the Egg Mixture
In a shallow bowl, whisk together the eggs, milk, and vanilla extract until fully blended.
Cook the Roll-Ups
Dip each roll-up into the egg mixture, ensuring all sides are coated.
Melt the butter in a large skillet over medium heat.
Cook the roll-ups, turning carefully, until golden brown and crisp on all sides.
Prepare the Glaze
In a small bowl, whisk together the powdered sugar and milk until smooth and pourable.