Place the chicken in the slow cooker.
Add salsa, chicken broth, tomato paste, chili powder, cumin, smoked paprika, garlic powder, onion powder, salt, and pepper; stir gently to coat.
Cover and cook on low for 6 to 7 hours or high for 3 to 4 hours, until chicken is tender and easy to shred.
Remove chicken and shred with two forks.
Return shredded chicken to the slow cooker and stir in lime juice.
Cover and cook an additional 15 to 20 minutes to combine flavors.
Warm tortillas and spoon the pulled chicken onto them.
Top with shredded lettuce or cabbage, diced tomatoes, cheese, sour cream, and cilantro as desired.