Preheat the oven to 400°F (200°C). Line a baking sheet with parchment paper.
In a bowl, toss tofu cubes with soy sauce, sesame oil, and cornstarch until evenly coated.
Spread tofu on the prepared baking sheet and bake for 25–30 minutes, flipping halfway, until golden and crispy.
While tofu bakes, prepare the peanut sauce. In a bowl, whisk together peanut butter, soy sauce, lime juice, maple syrup, and garlic. Add warm water, 1 tablespoon at a time, until the sauce reaches a pourable consistency.
Prep the vegetables and toppings.
To assemble: Divide rice or quinoa into bowls. Arrange cabbage, carrots, cucumber, avocado, and greens on top.
Add crispy tofu, drizzle with peanut sauce, and sprinkle with chopped peanuts. Serve with lime wedges if desired.