Beat butter and granulated sugar; add egg and vanilla.
Stir in flour and baking powder to form dough.
Roll on a floured surface into a large rectangle about 1/4 inch thick.
Mix brown sugar and cinnamon in a small bowl; sprinkle evenly over dough.
Roll tightly from long edge into a log; wrap in plastic and refrigerate 30 minutes.
Preheat oven to 350 degrees Fahrenheit; slice chilled log into 1/2-inch rounds.
Place on a baking sheet; bake 9 to 11 minutes.
Drizzle with cream cheese icing while slightly warm.