Heat oil in a large saucepan over medium heat. Add garlic; sauté 1 minute. Stir in chili powder and next 5 ingredients (chili powder through stewed tomatoes); bring to a boil. Reduce heat; simmer, uncovered, 15 minutes. Spoon 1 1/4 cups chili into each of 4 bowls; top each serving with 1 tablespoon sour cream, 1 tablespoon cheese, and 1 teaspoon cilantro.
Note: If hominy is not available, you can substitute 1 (11-ounce) can vacuum-packed white corn or 1 (15.25-ounce) can whole-kernel corn, drained. Hominy imparts a distinctive flavor remarkabley different from that of corn, so if you use corn, know that the dish will be more like a basic chili with beans.