Prepare the Pan: Preheat the oven to 275°F. Lightly grease a 9-inch springform pan, then line the bottom with a sheet of parchment paper.
Combine the Bananas: Place the mashed ripe bananas and white vinegar in a small bowl and stir them together.
Cream the Butter: In the bowl of a stand mixer or a large mixing bowl, beat the room-temperature butter and sugar on medium speed until pale, about 2 minutes.
Add the Egg: Add the egg and vanilla extract to the butter mixture. Beat on low speed just until combined.
Begin the Batter: Add half of the flour along with the baking soda and salt. Stir on low speed until the ingredients are almost incorporated.
Add the Milk: Pour in half of the whole milk and stir until combined.
Finish the Batter: Add the remaining flour and milk, incorporating them in the same way. Stir only until the ingredients are combined, taking care not to overmix.
Fold in the Bananas: Gently fold the banana-and-vinegar mixture into the batter until evenly incorporated.
Fill the Pan: Transfer the batter to the prepared springform pan and spread it into the pan.
Bake the Cake: Place the pan in the preheated 275°F oven and bake for about 1 hour, or until a toothpick inserted into the cake comes out clean.
Cool Completely: Allow the cake to cool completely before adding the whipped cream.
Make the Whipped Cream: Place the heavy whipping cream, powdered sugar, and creamy peanut butter in a large bowl or the bowl of a stand mixer. Whip on medium speed until the mixture becomes fluffy and reaches medium peaks. Top or Serve: If serving the entire cake at once, spread the peanut butter whipped cream over the cooled cake and garnish as desired. Otherwise, cut individual slices and serve each one with whipped cream as needed. Store for Best Quality: The cake is best eaten within 2 days.