Preheat oven to 400 degrees. Make the sauce: Finely chop ginger in a food processor. Add tahini, tamari, honey, oil, and vinegar; process until combined. With machine running, add 3 tablespoons cool water. Process until smooth.
Put tofu into a medium bowl. Add sesame seeds, oil, and salt; toss to combine. Arrange tofu in a single layer on a rimmed baking sheet. Bake until golden brown and bottoms are lightly crisp, 12 to 15 minutes. Flip tofu, and bake 10 minutes more. Let cool completely.
To assemble, divide cabbage, green beans, and bell pepper into 4 servings, and top with tofu. Divide sauce among 4 small cups. Serve within 2 hours, or refrigerate, covered, up to 1 day.
To press the tofu, place it on a rimmed baking sheet lined with a double layer of paper towels, then cover it with another double layer of paper towels. Place a baking sheet on top, and weight with heavy cans. Let stand for 30 minutes, then pat the tofu dry.