Place broccoli, sugar snap peas, bell pepper, carrots, and water to a large nonstick skillet. Bring to a boil, covered, over high heat. then reduce heat to medium-high. Cook until vegetables are crisp-tender, about 4 minutes. Transfer to a colander to drain.
Wipe skillet with a paper towel, then return to medium-high heat until hot. Add half each of beef, ginger, and garlic; stir-fry to desired doneness, 1 to 2 minutes. Transfer to a bowl and repeat with remaining beef, ginger, and garlic.
Return all beef and vegetables to skillet, stir in teriyaki and crushed red pepper, and cook until heated through, about 1 minute. Serve over hot cooked rice and sprinkle with peanuts.