In a medium skillet, melt butter on medium heat. As the butter browns, add bananas and brown sugar and mix. Cook for 7 to 8 minutes until bananas are cooked through. Remove from heat and allow to cool.
Add vanllia ice cream, milk and fried bananas (reserve some butter sauce for topping) to a blender and pulse until thoroughly mixed. Pour into two small glasses and serve with butter sauce on top.