Cut tofu in half lengthwise, then cut each piece across into 6 slices. Place tofu on a paper-towel-lined plate. Cover with more paper towels; place another plate on top. Weight with a few soup cans. Chill 30 minutes so towels absorb excess water.
In a medium bowl, combine soy sauce; sesame oil; chili paste or Tabasco, if using; lime juice; ginger; and garlic. Set aside. Transfer tofu to medium bowl; toss with half the marinade; let sit for 30 minutes.
Heat a nonstick skillet over medium heat. Working in batches, arrange tofu in a single layer in pan. Cook until golden brown, about 2 minutes per side. Transfer to platter; repeat with remaining tofu. Gradually add greens to skillet with remaining marinade. Cook, tossing occasionally, until greens are wilted and most of the liquid has evaporated, 5 to 8 minutes. Transfer to platter with tofu. Sprinkle with sesame seeds and red pepper; serve.