To begin, preheat your oven to 450°F (232°C) with the rack positioned in the upper third. In a 12-inch oven-safe skillet, warm 1½ teaspoons of sesame oil over medium-high heat. Pat the chicken thighs dry and place them skin-side down in the skillet. Cook without disturbing for 10 to 12 minutes, or until a deep golden-brown crust forms. Flip the chicken and cook for another 3 to 5 minutes until the other side is browned. Transfer the chicken to a large plate, skin-side up, and set aside. Do not clean the skillet.
Add the thinly sliced red bell pepper to the same skillet and cook over medium heat, stirring frequently, until it softens, which typically takes about 4 minutes. Incorporate the minced garlic and finely chopped ginger, stirring continuously for approximately 30 seconds until their aromas are released.
In a small bowl, whisk together 1¼ cups of chicken broth, 4½ tablespoons of low-sodium soy sauce, 1 tablespoon plus 2 teaspoons of honey, 1 tablespoon of cornstarch, 1 tablespoon of rice vinegar, and the remaining 1½ tablespoons of sesame oil. Reserve 2 tablespoons of this broth mixture. Pour the rest of the broth mixture into the skillet with the bell peppers. Bring the mixture to a simmer over medium heat, stirring constantly and scraping up any browned bits from the bottom of the pan. Stir in the 2 packages of microwavable brown rice and the 2-inch pieces of fresh green beans. Remove from heat and spread into an even layer in the skillet.
Arrange the chicken pieces, skin-side up, on top of the rice and vegetable mixture. Brush the chicken with the reserved 2 tablespoons of broth mixture. Bake until an instant-read thermometer inserted into the thickest part of the chicken thigh reaches 175°F (79°C), which should take 15 to 20 minutes. Before serving, sprinkle with thinly sliced scallions and 1 tablespoon of toasted sesame seeds for an added layer of flavor and crunch.