Put water and Kombu dried sea kelp in a pot. Let sit for 10 minutes.
Meanwhile, cut the end off of the Shimeji mushrooms, and pull them apart. Cut carrot into thin quarter rounds, thin fried Tofu into 1/3" (8 mm) strips, and green onion into 1/3" width pieces. Set all aside.
Start heating Kombu water at low heat. Remove Kombu just before boiling. Add mushrooms, carrot, and fried Tofu. Turn up heat to medium, cover, and cook 2-3 minutes until carrot gets tender.
Add soy milk, and dissolve miso paste in the soup. Just before boiling, add green onions, and remove from heat. Serve immediately.