In a small bowl, combine soy sauce, cooking wine, and brown sugar or honey. Stir until well blended. Set aside.
In a wok or wide skillet over high heat, heat oil. Add green onions, ginger, and garlic. Cook, stirring constantly, for about 30 seconds or until softened and aromatic.
Add shrimp and cook, stirring frequently, for about 1 to 2 minutes or until color starts to change. Remove from pan and keep warm.
Add soy sauce mixture to the pan and bring to a boil. Continue to cook until slightly thickened and reduced.
Return shrimp to pan and cook for about 2 to 3 minutes.
Garnish with additional chopped green onions and sesame seeds, if desired. Serve hot.