Combine the diced mangoes and sliced star fruits in a bowl. Refrigerate to chill.
Using a blender or food processor, purée the grated ginger with olive oil, cider vinegar, lime juice, mustard, coriander, green onion, salt, and pepper until smooth and creamy.
Arrange the chilled fruits on a serving plate and drizzle generously with the vinaigrette.
Note: The bold Creole flavors of this vinaigrette shine on sweet potato chips, grilled green plantains, fresh green salads, or spicy mains.