Beat the butter and granulated sugar together. Add the egg and vanilla.
Stir in the flour and baking powder to form a dough.
Roll the dough out on a floured surface into a large rectangle (about 1/4 inch thick).
Mix the brown sugar and cinnamon in a small bowl. Sprinkle this mixture evenly over the dough rectangle.
Starting from the long edge, roll the dough tightly into a log. Wrap in plastic wrap and chill in the fridge for 30 minutes.
Preheat the oven to 350 degrees Fahrenheit. Slice the chilled log into 1/2-inch thick rounds.
Place on a baking sheet and bake for 9 to 11 minutes.
Drizzle with cream cheese icing while still slightly warm.