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. Let 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 the rice, water, and a pinch of salt in a pot. Bring to a boil, then 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 the mayonnaise, Sriracha or gochujang, lime juice, and honey until completely smooth. Transfer to the refrigerator and keep chilled until ready to serve.
04 - Heat a grill pan or skillet over medium-high heat. Working in batches to avoid crowding, sear the marinated steak slices for 1 to 2 minutes per side until just cooked through and nicely caramelized on the edges.
05 - Divide the warm rice among four bowls. Arrange the seared steak, shredded carrots, julienned cucumber, chopped kimchi, and salad greens over the rice. Drizzle with the spicy cream sauce and finish with toasted sesame seeds and sliced green onion.