Cook the rice according to the package instructions.
Whisk together the soy sauce, mirin, brown sugar, honey, garlic, ginger, and sesame oil.
Mix the cornstarch with the water and set aside.
Heat the oil in a large skillet over medium-high heat.
Season the chicken with salt and pepper, then cook for 5-6 minutes per side until golden and cooked through.
Pour the teriyaki sauce into the skillet and simmer for 2 minutes.
Stir in the cornstarch slurry and cook until the sauce thickens and coats the chicken.
Slice the chicken into strips.
Divide the rice among four bowls.
Arrange the cucumber, carrots, cabbage, and edamame around the rice.
Place the sliced teriyaki chicken on top.
Spoon the extra sauce over the chicken and garnish with green onions and sesame seeds.
Serve immediately.