Prepare the slow cooker. Add the chicken, salsa verde, diced onion, garlic, and seasonings to the slow cooker. Stir to combine and coat the chicken.
Cook. Cover and cook on LOW for 4 hours or HIGH for 2 hours, or until the chicken reaches 165°F and shreds easily.
Shred the chicken. Remove the chicken from the slow cooker and shred using two forks. Set aside, leaving the cooking liquid in the slow cooker.
Make the creamy sauce. Add the cream cheese to the hot cooking liquid. Stir until completely melted and smooth.
Combine. Return the shredded chicken to the slow cooker. Add the fresh lime juice and stir until the chicken is evenly coated in the creamy salsa verde sauce.
Assemble and serve. Spoon the creamy shredded chicken into warm tortillas and finish with your favorite taco toppings. Enjoy!