Make the teriyaki sauce: In a medium-sized mixing bowl, whisk together the soy sauce, water, brown sugar, Mirin, ginger, garlic, honey, and cornstarch. Set aside until ready to use.
Heat 1 tablespoon of olive oil in a large skillet over medium-high heat.
Add chicken and brown until cooked through, about 7 minutes. You may need to do this in batches to ensure the chicken browns and doesn’t steam.
Once chicken is cooked, pour the teriyaki sauce into the skillet and continue to cook, stirring occasionally, until the sauce thickens, about 5 minutes. Set aside.
Heat two tablespoons of olive oil over medium-high heat in another large skillet. Once hot, add asparagus and broccolini to the skillet. Season with salt and black pepper and continue to cook for 8-10 minutes, or until fork-tender.
Serve immediately with cooked white rice and garnish with sesame seeds.