Drain and rinse both cans of Great Northern beans.
Add one can of beans and approximately ¾ cup of the chicken broth to a blender. Blend until mostly smooth.
Place the chicken breasts in the slow cooker. Add the blended beans, remaining whole beans, frozen corn, onion, green chiles, garlic and remaining chicken broth.
Add the cumin, chili powder, oregano, smoked paprika, kosher salt and black pepper. Stir the ingredients around the chicken.
Cover and cook on LOW for four to six hours or on HIGH for 2½ to 3½ hours, until the chicken reaches an internal temperature of 165°F and shreds easily.
Remove the chicken from the slow cooker and shred it with two forks.
Add the softened cream cheese to the hot chili. Stir until the cream cheese has melted and the broth is smooth.
Return the shredded chicken to the slow cooker. Stir in the lime juice and cilantro, if using.
Cover and allow the chili to sit for approximately 10 minutes. Taste and adjust the salt, pepper and lime juice as needed.
If the chili is too thick, add a small splash of chicken broth. Serve warm with your preferred toppings.