Slice off the crusts from each piece of bread and discard or set aside for another use.
Use a rolling pin to compress and flatten each slice of bread until thin and pliable.
In a mixing bowl, thoroughly blend the cream cheese with the powdered sugar until smooth and evenly combined.
In a separate shallow bowl, stir together the granulated sugar and ground cinnamon; reserve this mixture for coating.
Spread roughly 1 to 1½ tablespoons of the sweetened cream cheese mixture over one side of each flattened bread slice.
Gently roll each slice into a tight log, enclosing the filling within.
Immerse each roll-up in the melted butter, ensuring it is completely coated.
Immediately after buttering, roll each piece in the cinnamon-sugar blend until thoroughly covered.
Place the prepared rolls in a single layer on an ungreased baking sheet, spacing them slightly apart.
Continue the process with the remaining slices of bread.
Bake in a preheated oven at 350°F (175°C) for 16 to 20 minutes, or until each roll is golden brown and slightly crisped.
Serve warm for optimal flavor and texture.