Preheat your oven to 400°F and line a large baking sheet with parchment paper.
Press the extra firm tofu between paper towels for 10 minutes to remove excess moisture, then cut into 1-inch cubes.
Place the tofu cubes, broccoli florets, and sliced red bell pepper on the baking sheet and toss with sesame oil, sea salt, and black pepper.
Roast the vegetables and tofu in the oven for 20 to 25 minutes, flipping halfway through, until the tofu is golden and the broccoli is tender.
While roasting, bring a pot of water to a boil and cook the soba noodles for 4 to 5 minutes until al dente, then drain and rinse with cold water.
In a small bowl, whisk together the creamy peanut butter, tamari, rice vinegar, grated fresh ginger, minced garlic, and red pepper flakes until smooth.
Add a tablespoon of warm water to the sauce if needed to reach a pourable, creamy consistency.
In a large mixing bowl, combine the cooked soba noodles, roasted vegetables, tofu, and shelled edamame.
Pour the peanut sauce over the noodle mixture and toss thoroughly until every strand and vegetable is well-coated.