Bring milk to the boil in a pot. Take the pot off the stove. Add rice pudding and vanilla sugar with a whisk, stirring continuously, and continue stirring for 1 minute. Let it swell for about 10 minutes. Meanwhile drain the peaches, catching the juice. Cut the peaches into pieces.
Pour the juice over the peaches. Roast the flaked almonds in a pan without fat until golden brown. Add butter, melt at medium heat and let it foam up. Stir rice pudding again and arrange on plates together with the peaches. Drizzle almond butter over the rice and serve decorated with mint leaves as desired