Rinse the peaches and currants. Remove the stems from the berries except for a few panicles, cut the peaches into wedges from the stone and set aside a few wedges for decoration.
Boil the rest of the fruit with the juices, lemon peel, sugar and vanilla sugar for about 5 minutes on low heat, then strain.
Refrigerate the soup for about 30 minutes.
Divide the cold soup evenly on plates. Add 1 tablespoon of sour cream or crème fraiche to each plate and pull outward in a star shape with a toothpick.
Garnish with the remaining fruit.