In a large pot over medium-high heat, heat oil until shimmering. Add chicken and taco seasoning and cook until fragrant, about 1 minute. Stir in salsa, tomato soup, chicken broth, black beans, and chili beans. Increase heat to high and bring soup to a simmer. Reduce heat and simmer for 5 minutes.
Ladle into soup bowls, and garnish with shredded cheese, sour cream, avocado, green onion, and tortilla strips.