Make the sauce: In a bowl, whisk together soy sauce, honey, rice vinegar, mirin, sesame oil, garlic, ginger, and chicken broth until smooth.
Add to slow cooker: Place the chicken breasts in the slow cooker in a single layer if possible. Pour the sauce over the top, turning the chicken to coat.
Cook low and slow: Cover and cook on Low for 3.5–4.5 hours, or on High for 2–3 hours, until the chicken reaches 165°F and is tender. Cooking time can vary by slow cooker and thickness of the breasts.
Remove chicken: Transfer the cooked chicken to a cutting board.
Let it rest for 5 minutes, then slice or shred to your preference.
Thicken the sauce: Pour the cooking liquid into a small saucepan (or leave it in the slow cooker if it has a sauté function). Bring to a gentle simmer. Stir in the cornstarch slurry and cook for 1–2 minutes, stirring, until the sauce is glossy and thick enough to coat a spoon.
Combine and finish: Return the sliced or shredded chicken to the slow cooker or a serving bowl and toss with the thickened teriyaki sauce.
Taste and adjust seasoning—add a splash more soy for salt, honey for sweetness, or vinegar for brightness.
Serve: Spoon the chicken over rice or noodles. Garnish with sesame seeds and green onions. Add steamed broccoli, snap peas, or carrots if you like.