Coconut milk and green curry paste flavor a quick stew of cod, eggplant, and sweet potatoes.
Stir together coconut milk, curry paste, and eggplant in a large straight-sided skillet. Bring to a boil, then reduce heat to medium-low and simmer, covered, 5 minutes. Stir in sweet potatoes and basil sprig; season with salt and pepper. Cover and cook, stirring a few times, until potatoes are almost tender, 12 to 15 minutes.
Generously season fish with salt and nestle into skillet until partially submerged. Cook, partially covered, gently shaking skillet a few times, until just cooked through, 7 to 9 minutes. Remove basil sprig. Serve with rice, topped with basil leaves, chiles, and lime wedges.