Whisk the lime juice, soy sauce, sesame oil, honey, garlic, and ginger in a small bowl until the honey dissolves.
Place the cabbage, mangoes, carrots, and red onion in a large mixing bowl.
Pour the dressing over the vegetables and toss well to coat everything evenly.
Cover and refrigerate for at least 30 minutes to let the flavors blend.
Just before serving, sprinkle the cilantro leaves and chopped peanuts over the top.