Cut the tofu block into 1/2" thick slices and with towel, pat each slice tofu dry on both sides.
In a small bowl, add just 1/2 of the miso (we'll use the other half in the dressing). Brush the tofu on one side with some of the miso.
Heat a frying pan over medium-high heat. When hot, drizzle in the cooking oil and add the tofu, miso side down. Cook for 2-3 minutes until browned. Brush the top of the tofu with more miso. Carefully flip the tofu and cook for 2-3 minutes.
Whisk together the remaining miso, soy sauce, ginger, water, sesame oil and sugar. Slowly drizzle in the oil while whisking to finish the dressing.
Assemble the salad greens and vegetables, serve with grilled tofu slice and miso salad dressing.