Place the chicken breasts in the bottom of the slow cooker. Sprinkle with cumin, oregano, chili powder, cayenne, salt, and pepper.
Add the onion, garlic, beans, corn, and green chiles on top. Pour in the chicken broth and stir gently to combine.
Cover and cook on low for 6-8 hours or on high for 3-4 hours, until the chicken is cooked through and easily shreds.
Remove the chicken, shred with two forks, and return it to the slow cooker.
Add the cream cheese pieces and half-and-half. Cover and cook on high for 15-20 minutes, stirring once or twice, until the cream cheese is fully melted and the chili is creamy.
Stir in the lime juice and cilantro. Taste and adjust salt. Serve hot with desired toppings.