Lay the chicken breasts right into the bottom of your slow cooker.
Sprinkle over the cumin, salt, pepper, chili powder, cayenne, dried oregano, and coriander.
Pour in the chicken broth, then add the onions, garlic, and green chiles. Top it all off with a bay leaf. (I usually wait to add the beans until later with the corn, but if you prefer super-soft beans, go ahead and toss them in now.)
Pop the lid on and cook for 6–8 hours on LOW or 3–4 hours on HIGH, until the chicken is fall-apart tender. During the last 2 hours, add the beans and the thawed corn, then let it all keep simmering.
Scoop about 2 cups of the chili — beans included — and the cream cheese, into a blender or food processor and give it a quick blend to thicken things up. (An immersion blender works too.) Pour that mixture back into the slow cooker.
Remove the chicken and transfer it to a cutting board. Shred it into bite-sized pieces with two forks, then return it to the slow cooker and stir everything together.
Give it a taste and adjust the seasoning as needed. Add fresh cilantro if you’d like. Serve with shredded cheese, sour cream, lime wedges, tortilla strips or chips, and sliced avocado. Enjoy!