Cover noodles with boiling water in a bowl. Let stand 15 minutes or until tender; drain.
Combine beef, snow peas, and carrot in a microwave-safe bowl. Combine the teriyaki sauce and the next 4 ingredients (teriyaki sauce through ginger), and pour over beef mixture. Microwave at high for 2 minutes or until thoroughly heated. Add the noodles; toss well. Serve over spinach. Sprinkle with cilantro.