Mix gochujang paste, mirin, rice vinegar, soy sauce, sugar, garlic, and sesame oil until sugar dissolves to create the Bibimbap sauce.
Combine grated green apple, garlic, ginger, soy sauce, honey, and sesame oil to marinate the beef. Let it sit for at least 30 minutes, or up to overnight.
Soak dried shiitake mushrooms in boiling water for 30 minutes to soften them. Slice them for later use.
Lightly salt the zucchini and carrots, let sit for 20 minutes, then drain.
Heat 2 teaspoons of oil in a skillet and cook the marinated beef until browned, about 3–4 minutes.
In separate skillets, cook the shiitakes, carrots, zucchinis, and spinach until just tender but vibrant.
Simmer bean sprouts in water for 5 minutes or steam them in the microwave for 3 minutes.
Divide warmed rice among bowls. Top with cooked vegetables, beef slices, and a fried egg on each portion.
Finish with a sprinkle of sesame seeds, a drizzle of sesame oil, and offer the prepared Bibimbap sauce on the side.