Roll pie crust into an 11-inch circle. Place in pie pan, pressing out any air pockets. Prick the bottom and sides of the pie crust with a fork. Bake according to your pie crust recipe directions for a single-crust baked pie shell, then cool.
In a medium saucepan, whisk sugar and cornstarch together. Add cream and butter to the pan and cook over medium heat, whisking continually. Bring the mixture to a boil and then cook one minute longer. Remove from heat and whisk in vanilla.
Pour cream mixture into the cooled pie crust and smooth using a spoon or spatula. Pour the melted butter over the top of the pie. Combine 2 tablespoon of sugar with 1 teaspoon cinnamon and sprinkle evenly over the top of the butter. Place on the top rack of your oven and broil for 1-2 minutes, until the sugar crystallizes and browns. Watch carefully so you don't burn your pie!
Remove from oven and cool. Store pie in the refrigerator.