In a large pot, pour in 4 cups of chicken broth and add the sliced ginger, soy sauce, cooking wine, sesame oil, salt, and white pepper. Stir well to combine and bring to a gentle boil over medium-high heat.

Once the broth is boiling, carefully introduce the frozen wontons into the pot. Stir gently to ensure they're coated. Cook for 4-5 minutes, or until the wontons float to the surface.

Just before serving, add in the boy choy or your choice of leafy greens. Cook for an additional 1-2 minutes until tender but vibrant.

Remove from heat, taste the soup, and adjust seasoning if needed. Ladle into bowls and garnish with chopped green onions and fried shallots.