Make the marinade. In a blender, combine all marinade ingredients, then process until very smooth.
Marinate the shrimp. Place peeled and deveined shrimp in a large container, then pour the marinade on top. Toss to evenly coat, then seal tightly. Refrigerate for 15-20 minutes while you make the salsa.
Cook the corn. You can either sauté or grill the corn. To sauté: Cut raw kernels from the cob. Heat 1 Tbsp neutral oil in a skillet over medium-high. Cook kernels, stirring, until golden and just tender, 3–4 minutes. To grill: Lightly oil and salt a shucked ear of corn. Grill over medium-high heat, turning until lightly charred on all sides, 8–10 minutes. Cool, then slice kernels off the cob. For either method, cool slightly before adding to salsa.
Make the salsa. In a medium bowl, combine diced mango, grilled corn kernels, jalapeño, avocado, red onion, tomatoes, and cilantro. Add lime juice and ½ tsp kosher salt; toss gently to combine. Taste and adjust seasoning, then allow it to sit while you cook the shrimp to help the flavors meld.
Cook the shrimp. Allow the shrimp to sit out at room temperature for 10 minutes prior to cooking. Heat a grill or grill pan over medium-high heat (about 375-400°F), then coat with grill spray. When hot, carefully add shrimp, allowing excess marinade to drip off, then cook for 2 minutes on the first side, flip, then cook for 1-2 minutes more, or until the shrimp turn opaque and their tails curl in slightly to form a “c”.
Assemble the tacos. Warm corn tortillas in a dry skillet or directly over a burner (or the grill!) until pliable. Fill each tortilla with a few shrimp, a generous spoonful of mango-corn salsa, and garnish with thinly sliced radishes, fresh cilantro, and any other favorite toppings (try a drizzle of crema, crumbled Cotija, or extra lime wedges). Serve right away while everything’s hot and fresh–enjoy!