Make the sauce: In a bowl, whisk together soy sauce, brown sugar, honey (if using), rice vinegar, mirin, garlic, ginger, chicken broth, and sesame oil until smooth.
Load the slow cooker: Place chicken breasts in a single layer in the slow cooker. Pour the sauce over the top, making sure the chicken is well coated.
Cook: Cover and cook on Low for 3 to 4 hours or High for 1.5 to 2.5 hours, until the chicken is just cooked through and tender.
Avoid overcooking.
Remove and rest: Transfer the chicken to a cutting board. Let it rest for 5 minutes, then slice or shred, depending on how you want to serve it.
Thicken the sauce: Turn the slow cooker to High. In a small bowl, whisk cornstarch with cold water to make a slurry.
Stir the slurry into the sauce. Cover and cook for 10 to 15 minutes, stirring once, until the sauce turns glossy and thick.
Combine: Return sliced or shredded chicken to the slow cooker and toss to coat in the teriyaki sauce.
Serve: Spoon the chicken and sauce over rice or noodles. Garnish with sesame seeds and green onions.
Add steamed broccoli, snap peas, or carrots on the side if you like.