Finely chop the lemon peel. Combine lemon peel, currants, and almonds in a mixing bowl. Mix flour with baking powder and sieve over the mixture. Add sugar, vanilla sugar, rum flavor, egg, soft butter, and salt. Using a mixer with a dough hook, work all ingredients into a smooth dough.
Shape the dough into pencil-thick rolls on a lightly floured work surface and cut into pieces approximately 4 cm long. Place 2 pieces side by side, position a third piece on top in the middle, and press lightly to form a stollen shape. Arrange on a baking sheet lined with parchment paper. Bake in a preheated oven at 180°C (350°F) for approximately 12 minutes.
Allow mini stollen to cool, then sprinkle with decorative sugar.