01 - Combine soy sauce, brown sugar, sesame oil, rice vinegar, garlic, ginger, black pepper, green onions, and gochujang in a bowl. Add steak slices, toss to coat evenly, and marinate for at least 20 minutes or up to 2 hours for deeper flavor penetration.
02 - Rinse rice under cold water until the runoff runs clear. Combine rice, water, and salt in a pot. Bring to a boil, reduce heat to low, cover, and simmer for 12 to 15 minutes until tender. Remove from heat and let stand covered for 5 minutes before fluffing.
03 - Whisk together mayonnaise, Sriracha or gochujang, lime juice, and honey until smooth and fully incorporated. Refrigerate until ready to use.
04 - Heat a grill pan or skillet over medium-high heat. Sear steak slices in batches for 1 to 2 minutes per side until just cooked through with caramelized edges. Avoid crowding the pan to ensure proper searing.
05 - Divide warm rice among serving bowls. Arrange seared steak, shredded carrots, julienned cucumber, chopped kimchi, and greens over the rice. Drizzle generously with spicy cream sauce and garnish with toasted sesame seeds and sliced green onion.