Combine rice and water in a bowl and swish with your hands until water is cloudy. Drain and repeat several times until water is clear. Combine the rice with 11/4 cups water and cook, covered, over medium heat until tender, 25 to 30 minutes. Fluff and set aside.
Combine shrimp and wine in a bowl and let stand 5 minutes. Heat vegetable oil in a skillet and stir-fry sausages and ginger for 4 to 5 minutes. Add shrimp and stir-fry just until partially pink, about 1 minute.
Add cooked rice to skillet and mix gently. Form a well in the middle and pour in the eggs. Let them set a bit, then scramble by stirring occasionally. When they are soft set, stir them into the rice. Season with salt and pepper.
Spread out the rice and let cook, undisturbed, until a crust forms, about 1 minute. Break up the crust and stir, then cook until another crust forms. Repeat 2 or 3 times. Stir in green onions and sesame oil.