Saute veggies. Add the oil (2 tablespoons) to a large heavy bottom pan. Once shimmering, add the onions (1 1/2 cups), jalapeno (1 tbsp), anaheim chili (2 tbsp), and bell pepper (1 tbsp). Cook until onions begin to soften, about 8 minutes. Add garlic (6 cloves), cumin (1 tablespoon), chili powder (2 teaspoons), oregano (2 teaspoons), and coriander (2 teaspoons). Saute until fragrant, about 2 minutes.
Simmer. Add Rotel diced tomatoes (1 can of 10 ounces), chicken broth (3 cups), Better Than Bouillon (1 tablespoon), cream cheese (8 ounces), salt (1 1/2 teaspoon), black pepper (1/4 teaspoon), and chicken (4 breasts cubed). Bring the soup to a boil, then immediately reduce and simmer uncovered for 35-40 minutes. You'll know the chili is done once the chicken reaches an internal temp of 145 F, and the liquid has reduced to your liking.
Finishing touches. Add the lime juice (1 tablespoon) and cilantro (1/2 cup) and taste. Adjust seasoning to your liking. Divide the soup into 6 bowls. Top with cheese, avocado, and additional cilantro. Enjoy!