Whisk the coconut milk, lime juice, lime zest, sugar, star anise, and salt together in a large bowl.
Add the lychees, pineapple, honeydew melon, cantaloupe, papaya, and mangos. Gently toss to coat in the coconut milk dressing. Cover and refrigerate for about 1 hour or longer before serving. Prior to serving, remove the star anise and reserve for serving. Transfer the fruit salad to a serving platter or glasses. Top with the reserved star anise and shredded coconut, if desired, and serve.
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