01 - Combine shrimp, lemongrass, garlic, chili, ginger, fish sauce, lime juice, brown sugar, salt, and pepper in a bowl. Mix thoroughly to coat evenly and let marinate for 15 minutes at room temperature.
02 - Rinse jasmine rice under cold water until water runs clear. Combine rice, coconut milk, water, and salt in a medium saucepan. Bring to a gentle boil over medium heat.
03 - Reduce heat to low, cover tightly, and simmer for 15 to 18 minutes until rice is tender and liquid is fully absorbed. Remove from heat and let stand covered for 5 minutes. Fluff gently with a fork before serving.
04 - While rice cooks, heat vegetable oil in a large skillet over medium-high heat. Arrange marinated shrimp in a single layer without crowding. Sauté for 2 to 3 minutes per side until shrimp turn pink and are just cooked through. Avoid overcooking to maintain texture.
05 - Divide fragrant coconut rice among serving plates. Arrange spicy lemongrass shrimp on top of the rice. Garnish generously with fresh cilantro, additional sliced chili if desired, and lime wedges on the side.