01 - Combine soy sauce, brown sugar, sesame oil, rice vinegar, garlic, ginger, black pepper, green onions, and gochujang in a bowl. Add the thinly sliced steak and toss to coat evenly. Marinate for at least 20 minutes, or up to 2 hours for deeper flavor penetration.
02 - Rinse rice under cold running water until the water runs clear. Combine 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 mayonnaise, Sriracha or gochujang, lime juice, and honey until completely smooth. Transfer to a container and 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 salad greens over the rice. Drizzle with spicy cream sauce and garnish with toasted sesame seeds and sliced green onion.
06 - Serve the bowls immediately while the steak is hot and the sauce is chilled for contrast.