Combine chicken, onion, garlic, green chiles, chili powder, cumin, paprika, coriander, chicken broth, and diced tomatoes in a slow cooker.
Cover and cook on low for 6 hours, or until chicken is no longer pink.
Remove chicken from slow cooker and shred with a fork.
Return shredded chicken to slow cooker. Add black beans, pinto beans, corn, and lime juice.
Continue to cook on low heat until beans are heated through.
Season with salt and pepper to taste.
Serve with crushed tortilla chips, cheese, and sour cream.