Drain and rinse 2 cans black beans. (Do not drain or rinse third can.)
Sauté chopped onion and ground turkey in hot oil in a large Dutch oven over medium heat, stirring often, 8 to 10 minutes or until turkey crumbles and is no longer pink. Stir in chili powder and next 3 ingredients; sauté 1 minute. Stir in drained and undrained beans, chicken broth, and diced tomatoes.
Bring to a boil over medium-high heat; cover, reduce heat to low, and simmer 10 minutes. Serve chili with desired toppings.