Preheat oven to 375°F (190°C). Grease a 9×13 baking dish. Warm tortillas briefly to make them pliable.
Heat 1 tbsp olive oil in a large skillet over medium heat. Sauté diced onion 3–4 minutes until translucent; add garlic and cook 30 seconds.
Add shredded chicken and spices (cumin, chili powder, salt, pepper). Stir and warm 2–3 minutes.
In a bowl, whisk cream cheese, sour cream, and chicken broth until smooth. Fold in diced green chiles and 1 cup shredded cheese.
Pour sauce over chicken in skillet and stir to combine. Simmer 1–2 minutes until slightly thickened. Remove from heat.
Spoon ~¾ cup filling into each warmed tortilla, roll tightly, and place seam-side down in the baking dish.
Pour any remaining sauce over enchiladas and sprinkle with remaining ½ cup cheese. Cover with foil.
Bake 15 minutes covered, remove foil and bake another 8–10 minutes until cheese bubbles and is lightly golden.
Rest 5 minutes, garnish with cilantro and avocado, and serve with lime wedges.