Flatten each slice of bread with a rolling pin.
In a small bowl, mix the cream cheese, brown sugar, and cinnamon until smooth.
Spread a thin layer of the cream cheese mixture on each slice of bread.
Roll up each slice tightly and set aside.
In a shallow dish, whisk together the eggs, milk, and vanilla extract.
Dip each roll-up in the egg mixture, making sure to coat all sides.
In a large skillet, melt the butter over medium heat.
Cook the roll-ups in the skillet, turning occasionally, until golden brown on all sides.
In a small bowl, mix the powdered sugar and milk to make a glaze.
Drizzle the glaze over the warm roll-ups before serving.
