Preheat oven to 400°F and line a baking sheet with parchment paper.
Press the tofu for 15 minutes to remove excess moisture, then cut into 1-inch cubes.
In a bowl, toss tofu cubes with cornstarch, sea salt, and black pepper until evenly coated.
Spread tofu on the baking sheet and bake for 25-30 minutes, flipping halfway, until golden and crispy.
While tofu bakes, whisk together peanut butter, tamari, rice vinegar, sriracha, grated ginger, minced garlic, and sesame oil in a small bowl.
Steam the broccoli florets and edamame until tender-crisp, about 5 minutes.
Toss the crispy tofu, broccoli, and edamame in the peanut sauce until well-coated and serve immediately.