Heat oven to 375°F. Grease a 9x13-inch baking dish.
Warm oil in a large skillet over medium heat.
Sauté onion and bell pepper until softened, about 5–6 minutes.
Stir in garlic, chili powder, cumin, and paprika. Cook 30 seconds.
Whisk in both soups, tomatoes with juices, broth, and sour cream.
Simmer 2 minutes, then season with salt and pepper.
Fold in shredded chicken and warm through.
Layer half the tortilla strips in the dish. Spread half the chicken mixture over.
Scatter half the cheese on top. Repeat layers with remaining tortillas, sauce, and cheese.
Cover with foil and bake 20 minutes.
Uncover and bake until bubbling and lightly browned, 12–15 minutes.
Rest 10 minutes. Finish with cilantro and serve warm.