In a large pot or Dutch oven, heat olive oil over medium heat. Add the diced onion and bell pepper, sautéing until the vegetables are softened, about 5-7 minutes.
Add minced garlic and cook for an additional minute until fragrant.
Stir in the ground turkey, breaking it up with a spatula, and cook until browned, approximately 5-6 minutes.
Season the turkey mixture with chipotle in adobo sauce, chili powder, ground cumin, smoked paprika, salt, and pepper. Stir well to coat all ingredients in the spices.
Pour in the crushed tomatoes and stir in the black beans and kidney beans. Bring the mixture to a simmer, then reduce the heat to low.
Allow the chili to simmer for at least 30 minutes, stirring occasionally. If you have more time, let it simmer for up to an hour for deeper flavors.
In the last 10 minutes of cooking, add the corn and stir until heated through. Adjust seasoning as needed.
Serve the chili hot, garnished with fresh cilantro and a dollop of sour cream or Greek yogurt if desired.