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 until evenly coated. Marinate for at least 20 minutes, or up to 2 hours for deeper flavor penetration.
02 - Rinse the rice under cold running water until the liquid runs clear. Combine the rice, water, and a pinch of salt in a pot. Bring to a boil, then reduce the 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 the mayonnaise, Sriracha or gochujang, lime juice, and honey in a small bowl 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 a caramelized exterior. Avoid crowding the pan to ensure proper browning.
05 - Divide the warm rice among serving bowls. Arrange the seared steak, shredded carrots, julienned cucumber, chopped kimchi, and salad greens on top. Drizzle with the spicy cream sauce and garnish with toasted sesame seeds and sliced green onion.