01 - Preheat oven to 375°F. Lightly grease a 15x10 inch jelly roll pan, line with parchment paper, and grease the parchment.
02 - In a large bowl, beat eggs and granulated sugar until thick and pale, approximately 5 minutes. Stir in vanilla extract. In a separate bowl, whisk together flour, baking powder, and salt. Alternately add the dry mixture and milk to the egg mixture, mixing just until combined. Fold in the mashed banana.
03 - Pour batter into the prepared pan and spread evenly. Bake for 12–15 minutes until the center springs back lightly when touched. Remove from oven and allow to cool for several minutes.
04 - Invert the cake onto a clean kitchen towel dusted with powdered sugar. Peel off the parchment paper and roll the cake in the towel from the short end. Allow to cool completely in the rolled shape.
05 - Beat softened cream cheese, powdered sugar, and vanilla extract until smooth. In a separate bowl, whip heavy whipping cream to stiff peaks, then fold gently into the cream cheese mixture to create a light filling.
06 - Once the cake is completely cool, unroll it gently. Evenly spread the cream cheese filling over the surface and top with sliced bananas. Carefully roll the cake up again, using the towel for guidance.
07 - Wrap the assembled roll tightly in plastic wrap and refrigerate for at least 2 hours. Slice and serve chilled.