Preheat your oven to 400°F and line a large baking sheet with parchment paper.
Press the extra firm tofu for at least 15 minutes using a tofu press or heavy skillet to remove excess moisture, then cut into 1-inch cubes.
In a medium bowl, toss the tofu cubes with cornstarch, sea salt, and black pepper until each piece is evenly coated.
Spread the tofu in a single layer on the baking sheet, drizzle with sesame oil, and bake for 25-30 minutes, flipping halfway through, until the edges are golden and crispy.
While the tofu bakes, whisk together the creamy peanut butter, tamari, rice vinegar, sriracha, and grated fresh ginger in a small bowl until smooth.
Steam the broccoli florets and shelled edamame in a steamer basket for 5-7 minutes until they are tender-crisp and vibrant green.
Transfer the crispy tofu and steamed vegetables to a large bowl, pour the peanut sauce over the top, and toss gently to coat before serving warm.