01 - Combine soy sauce, brown sugar, sesame oil, rice vinegar, garlic, ginger, black pepper, green onions, and gochujang in a bowl. Add the sliced steak, 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 water 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 the marinated steak slices in batches for 1 to 2 minutes per side until just cooked through and caramelized. Avoid crowding the pan to ensure proper browning.
05 - Divide warm rice among serving bowls. Arrange seared steak, shredded carrots, julienned cucumber, chopped kimchi, and greens on top. Drizzle with spicy cream sauce and finish with toasted sesame seeds and sliced green onion.