Remove crusts from bread slices. Using rolling pin, flatten each slice gently until thin and pliable.
In small bowl, mix melted butter, brown sugar, and 2 tablespoons cinnamon until well combined.
Spread cinnamon mixture evenly on each flattened bread slice, leaving small border at edges.
Roll up each bread slice tightly from one end. Press seam gently to seal.
In shallow bowl, whisk together eggs, milk, ½ teaspoon cinnamon, and vanilla extract until uniform.
Heat skillet over medium heat and add 1 tablespoon butter. Let melt until foaming.
Quickly dip each roll in egg mixture, coating all sides without soaking.
Place rolls seam-side down in hot skillet. Cook 2-3 minutes total, rotating to brown all sides evenly until golden.
