Preheat your oven to 350°F (175°C) and grease a 9-inch round cake pan.
In a large bowl, cream the softened butter and sugar until light and fluffy.
Add the eggs one at a time, mixing well after each addition.
Stir in the mashed bananas and vanilla extract.
In a separate bowl, combine flour, baking soda, and salt.
Gradually add the dry ingredients to the banana mixture, mixing until just combined.
Pour the batter into the prepared cake pan and smooth the top.
Bake for 30-35 minutes or until a toothpick inserted in the center comes out clean.
Let the cake cool in the pan for 10 minutes before transferring to a wire rack.
For frosting, beat cream cheese until smooth, then gradually add powdered sugar and milk until creamy.