In a large skillet or wok, heat the sesame oil over medium-high heat.
Add the diced onion and sauté for about 2-3 minutes until softened.
Stir in the minced garlic and grated ginger; cook for an additional 1 minute until fragrant.
Add the shredded carrots, cabbage, diced bell pepper, and mushrooms to the skillet. Stir-fry for 5-7 minutes, allowing the vegetables to soften and release their flavors.
Pour in the soy sauce and rice vinegar, stirring to evenly coat the veggies. Season with salt and pepper to taste.
Push the veggie mixture to one side of the pan and pour the beaten eggs into the empty side, scrambling them until fully cooked. Once cooked, mix the eggs into the vegetable mixture.
Remove from heat and garnish with sliced green onions and sesame seeds if desired.
Serve immediately, either in bowls or on plates, allowing everyone to enjoy the colorful medley.
Notes
Feel free to customize the vegetables based on your preference.