01 - Combine shrimp, lemongrass, garlic, chili, ginger, fish sauce, lime juice, brown sugar, salt, and pepper in a bowl. Mix thoroughly to coat evenly. Let marinate for 15 minutes at room temperature.
02 - Rinse jasmine rice under cold water until water runs clear. Transfer to a medium saucepan with coconut milk, water, and salt. 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 - Heat vegetable oil in a large skillet over medium-high heat. Arrange marinated shrimp in a single layer without overcrowding. Sauté for 2 to 3 minutes per side until shrimp turn pink and are just cooked through. Avoid overcooking to maintain tenderness.
05 - Divide fragrant coconut rice among serving plates. Arrange spicy lemongrass shrimp over the rice. Garnish generously with fresh cilantro, sliced chili if desired, and lime wedges on the side.