Place the frozen corn in a microwave-safe bowl or measuring cup. Microwave on high for 2-3 minutes until the corn is heated through.
Transfer 1-1 1/2 cups of the corn to a baking sheet (feel free to use a smaller toaster-oven-sized baking sheet here to avoid heating up the oven, if you have one). Pat the corn dry with a clean towel or paper towel if it's wet. Drizzle the corn on the baking sheet with 1 Tablespoon olive oil and 1/4 teaspoon kosher salt.
Roast the corn at 400°F until it's golden brown (not that if it's not browning after 10-15 minutes, you can switch the oven to broil, and broil for up to 5 minutes, but keep an eye on it to avoid burning. Set the corn aside for now.
While you're waiting for the corn to roast, start making the rest of the dip. In a medium bowl, stir together 8 ounces cream cheese, 1/2 cup mayonnaise, 1/4 cup plain Greek yogurt, 2 Tablespoons lime juice, 1 Tablespoon chili powder, 2 teaspoons smoked paprika, and 2 cloves garlic until the mixture is smooth and there are no more lumps of cream cheese. Note that if you're having a hard time getting this mixture smooth by hand, you can use an immersion blender or hand mixer to make it go faster.
Stir in all of the corn (you can reserve 1-2 Tablespoons of it for sprinkling on top of the dip if you want), the minced jalapeno, 1/2 cup crumbled Cotija or Feta cheese, and 2 Tablespoons minced cilantro until combined.
To serve the dip hot
Transfer the dip to a small casserole dish or other oven-safe serving dish. Bake at 350°F for about 20 minutes, stirring the dip 2-3 times during baking to ensure that the middle gets heated through. Alternatively, microwave on high for 2-3 minutes, stirring after every minute to ensure even heating.
If desired, garnish the dip by sprinkling it with reserved corn, additional minced cilantro, Feta or cotija, jalapeno slices, and/or lime wedges. Serve with tortilla chips, corn chips, or any other crackers or chips that you like.