Add the chicken breasts, sliced bell peppers, diced onion, minced garlic, Rotel, black beans, corn, chicken broth, fajita seasoning, and taco seasoning to the crockpot. Stir to combine.
Cover and cook on low for 6 to 7 hours or on high for 3 to 4 hours.
Remove the chicken and shred it with two forks. Return the shredded chicken to the crockpot.
Add the cream cheese and shredded Pepper Jack. Stir until both are completely melted and the soup is creamy and smooth. Squeeze in the fresh lime juice and stir.
Serve topped with extra Pepper Jack, tortilla strips, avocado, cilantro, and sour cream.