Prepare the grill and heat it for medium-high heat cooking.
For the marinade, whisk together 2 tablespoons olive oil, 2 tablespoons melted butter, ¾ teaspoon minced garlic, ½ teaspoon dried parsley, ½ teaspoon dried basil, ¾ teaspoon paprika, ½ teaspoon pepper, 1 tablespoon lime juice, and 1 teaspoon salt.
Pour the marinade all over the 2 corn on the cob, 1 cubed red bell pepper, ½ pound mushrooms, ½ pound cherry tomatoes, and 1 zucchini cut into rounds. Mix well. Let this sit for 10 minutes and then skewer the veggies.
Place the skewers on the grill. Cook until the vegetables are lightly charred for 2-3 minutes, then flip them to cook the vegetables on the other side. Brush once with leftover marinade in the bowl while they cook. Once they are charred all over and tender, remove them from the grill and serve.