In a mixing bowl, combine the teriyaki sauce, honey, sesame oil, minced garlic, and minced ginger to create a flavorful marinade.
Place the chicken breasts in the crockpot and pour the marinade over them, ensuring they are well coated.
Cover the crockpot and cook on low for 4-5 hours or on high for 2-3 hours until the chicken is tender and fully cooked.
About 30 minutes before serving, add the broccoli, bell peppers, and snap peas to the crockpot, mixing well to combine with the chicken and sauce.
Once the cooking is complete, remove the chicken and shred it with two forks, then return the shredded chicken to the crockpot and stir it into the sauce and vegetables.
Serve the teriyaki chicken over rice or noodles, sprinkling with chopped green onions and sesame seeds for garnish.