Prepare the Teriyaki Sauce – In a saucepan over medium heat, combine soy sauce, water, brown sugar, honey, ginger, olive oil, and garlic. Stir until the sugar dissolves. Bring to a boil. In a separate bowl, mix cornstarch with 2 tablespoons of water to form a slurry. Slowly whisk the slurry into the boiling sauce until thickened. Remove from heat.
Bake the Chicken – Preheat the oven to 350°F (175°C). Place chicken breasts in a 9×13-inch baking dish. Pour 1 cup of the teriyaki sauce over the chicken. Bake for 30-35 minutes, or until the internal temperature reaches 165°F (74°C). Once cooked, shred the chicken in the dish.
Assemble the Casserole – While the chicken bakes, cook the frozen mixed vegetables according to package instructions. Prepare the brown rice if not already cooked. Add the vegetables, rice, and pineapple tidbits to the casserole dish with the shredded chicken. Pour most of the remaining teriyaki sauce over the mixture, saving a small portion for drizzling before serving. Stir to combine.
Final Bake and Serve – Return the casserole to the oven and bake for an additional 15 minutes until heated through. Drizzle with the reserved teriyaki sauce before serving. Optional toppings include chopped green onions or sesame seeds for extra flavor.