Whisk to combine all dressing ingredients in a medium bowl.
Season shrimp all over with salt and pepper. In a large skillet, heat oil over medium heat. Add shrimp and cook until pink and opaque, about 2 minutes per side. Transfer to a plate to cool.
Combine cabbage, mango, cucumbers, and avocado in a large bowl. Add dressing and toss gently to coat and mix the ingredients.
Serve salad topped with shrimp, chopped peanuts, and herbs.
