Peel and halve the papaya and remove the seeds with a spoon. Cut one half of the fruit into small cubes and chill. Quarter the other. Peel the mango with a peeler. Cut the pulp in wedges around the core. Squeeze the lime.
Puree the papaya quarters with the mango and lime juice in a blender. Whip the cream double with the vanilla sugar and stir in the fruit puree with the coconut flakes. Then spread on dessert bowls or glasses and refrigerate for about 1 hour. Spread the papaya cubes on the cream before serving.