Place the chicken breasts in the bottom of the crockpot.
Add the diced onion, minced garlic, white beans, corn, and diced green chilies on top of the chicken.
Pour in the chicken broth and sprinkle the cumin, chili powder, paprika, salt, and black pepper over the mixture.
Cover and cook on low for 6-8 hours or on high for 3-4 hours, until the chicken is cooked through and tender.
Remove the chicken from the crockpot and shred it using two forks. Return the shredded chicken to the pot.
Stir in the sour cream and shredded cheese until well combined. Let it cook for an additional 15-20 minutes on low to heat through.
Serve hot, garnished with fresh cilantro and lime wedges if desired.