Using a food processor or blender, puree peaches and pour into a large mixing bowl.
Using a food processor or blender, puree cantaloupe in two batches, adding the basil and mint leaves into one of the batches.
Pour the pureed cantaloupe into the bowl with the pureed peaches.
Add the juice of 1 lime and 1 tablespoon of fresh, grated ginger and mix thoroughly.
Cover the bowl and refrigrate at least 3 hours.
Before serving, taste the soup to see if any additional sugar or honey needs to be added.
Pour in 6 ounces of flavored sparkling water, white grape juice, or sparkling white wine.
Mix thoroughly and ladle into shallow bowls.
Garnish each bowl with a dollop of vanilla yogurt, small melon balls, and a sprig of mint.
Serve immediately.