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 and toss to coat evenly. Marinate for at least 20 minutes, or up to 2 hours for deeper flavor penetration.
02 - Rinse the rice under cold water until the runoff runs clear. Combine rice, water, and a pinch of salt in a pot. Bring to a boil, then reduce heat, cover, and simmer for 12 to 15 minutes until tender. Remove from heat and let sit covered for 5 minutes before fluffing.
03 - Whisk together mayonnaise, Sriracha or gochujang, lime juice, and honey until completely smooth. Refrigerate until ready to serve.
04 - Heat a grill pan or skillet over medium-high heat. Sear the marinated steak slices in batches, cooking 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 with spicy cream sauce and garnish with toasted sesame seeds and sliced green onion.