In a large bowl, combine the ground turkey with the egg, panko, grated carrots, minced garlic, chopped green onions, diced bell pepper, paprika, spinach, tomato paste, and shredded zucchini. Mix gently until just combined; avoid overworking the mixture, which can make the burgers tough.
Divide the mixture into 4 to 6 equal portions and form them into round patties. Heat a skillet or grill to medium-high heat. Cook the patties until they're browned on both sides and cooked through. For doneness, an internal temperature of 165 °F is what you're aiming for.
If you're making the roasted red pepper rings, seed and slice a red bell pepper, spritz it with olive oil, and bake at 425 °F for about 20 minutes, or until softened and lightly charred.