Preheat the oven to 170°C (340°F) without fan setting.
Separate the egg yolks and whites into two bowls. Whip the egg whites on low speed for about 30 seconds until frothy. Add a pinch of salt and whip until stiff peaks form.
In another bowl, mix the egg yolks and granulated sugar on low speed until combined. Sift in the flour, baking powder, and vanilla sugar. Mix on low speed for 1 minute.
Step 4: Gently fold the egg yolk mixture into the whipped egg whites in three batches using a spatula. Be careful not to deflate the egg whites.
Line a baking tray with parchment paper and grease the edges. Spread the batter evenly on the tray and tap it to remove air bubbles.
Bake on the middle rack for 15 minutes. Remove from the tray and parchment paper while warm, trim the edges, and roll the cake into a log with a kitchen towel. Let it cool for 1 day or at least 2 hours.
For the pastry cream, heat the milk and butter in a saucepan. In a separate bowl, whisk the eggs, cornstarch, and sugar until smooth.
Gradually add the warm milk to the egg mixture while whisking. Transfer back to the saucepan and cook over low heat, stirring until thickened and boiling. Stir for 3 more minutes, then cool with plastic wrap touching the surface.
Whip the heavy cream to soft peaks and fold into the cooled pastry cream.
Unroll the cake, spread the pastry cream, place banana slices on the front edge, and roll tightly. Chill for 3 hours. Dust with powdered sugar, garnish with banana slices, mint, and honey before serving.