Toss shrimp with coriander, salt, and pepper. Let sit for 5 minutes.
Prepare a lime vinaigrette by whisking lime juice, zest, basil, garlic, chile, and 4 tbsp olive oil.
Heat 2 tbsp olive oil in a large skillet over medium heat. Cook shrimp until pink, 2-3 minutes per side. Remove and set aside.
Add corn to the skillet, season with salt and pepper, and sauté until slightly charred, 2-3 minutes.
Return shrimp to the skillet, add 2 tbsp vinaigrette, and toss to coat.
Serve over rice or as a standalone dish, garnished with more basil or mint.