Add the chicken, onion, white beans, green chilis, 1 cup of salsa verde, chicken stock, garlic powder, cumin, and salt to a 6-quart slow cooker.
Cover and cook on high for 4-5 hours or low for 6-8 hours.
Uncover, remove the chicken, and shred with two forks or dice into chunks.
Using an immersion blender, blend the bean mixture for 5-10 seconds. Alternatively, carefully, remove ½ to 1 cup of the bean mixture to a blender. Cover, blend on high, then add back to the chili, stirring to combine. Note: blending for just a few seconds will add a creaminess to the creaminess, while leaving the texture of most of the beans.
Ladle a few tablespoons of the bean mixture into a medium bowl. Add the cream cheese and stir until well incorporated.
Add the chicken back to the slow cooker, along with the cream cheese mixture, stirring to combine. Taste and add additional salt or salsa if desired.
Serve with any toppings you like.