In 4-quart saucepan or Dutch oven, heat oil over medium-high heat until hot. Add onion, garlic and chicken; cook and stir until chicken is no longer pink.
Stir in remaining ingredients except cheese and cilantro. Heat to boiling. Reduce heat to low; simmer 10 to 15 minutes to blend flavors, stirring occasionally.
To serve, spoon chili into soup bowls. Top each serving with cheese and cilantro.