Press your block of firm tofu by wrapping it in a clean kitchen towel and placing a heavy object on top for at least 15 minutes. Then cut into 1-inch cubes.
In a medium bowl, gently toss the tofu cubes with 1 tablespoon of cornstarch until evenly coated.
In a small bowl, mix together 2 tablespoons sesame oil, 3 tablespoons soy sauce, 1 tablespoon grated fresh ginger, 2 cloves minced garlic, and 1 tablespoon honey or maple syrup. Stir well to combine.
Heat a large skillet over medium-high heat. Add a drizzle of sesame oil and place tofu cubes in the pan, leaving space between them. Cook undisturbed for 3-4 minutes until the bottoms are crispy and golden. Flip and cook other sides for about 8-10 minutes total. Remove tofu and set aside.
In the same pan, add broccoli florets and red bell pepper slices. Stir-fry for 4-5 minutes until they start to soften but remain crisp. Add shredded carrots and cook for another 2 minutes.
Return tofu to the pan with the veggies. Pour sesame ginger sauce over everything and toss gently to coat. Allow sauce to warm through and thicken slightly, about 2 minutes.
Divide cooked rice or quinoa between bowls. Top each with tofu and vegetable mixture. Garnish with sliced green onions and a sprinkle of sesame seeds.