Partially freeze beef for easier slicing. Trim fat from beef. Thinly slice beef across the grain into bite-size strips. Set aside. If using asparagus, cut asparagus into 2-inch pieces. Set aside.
In a small bowl stir together the beef broth, soy sauce, cornstarch, sugar, and ginger; set aside.
Lightly coat an unheated wok or large skillet with nonstick cooking spray. Preheat over medium-high heat. Add asparagus or broccoli, mushrooms and green onions. Stir-fry for 3 to 4 minutes or until vegetables are crisp-tender. Remove from wok or skillet.
Carefully add the oil to wok or skillet. Add beef; stir-fry for 2 to 3 minutes or until brown. Push the beef from center of work or skillet. Stir sauce. Add sauce to center of wok or skillet. Cook and stir until thickened and bubbly.
Return vegetables to wok or skillet. Stir all ingredients together to coat with sauce; heat through. Serve immediately over hot cooked rice.