Heat the non-dairy milks, corn and potatoes together in a large pot on medium-high heat.
Meanwhile, heat sesame oil in a pan on high heat. Saute tofu cubes in the oil, stirring (or tossing) often, until they reach the desired crispness. Sprinkle as much salt and pepper as you want on them, then set them aside.
Add mushrooms and onions to the heated oil and saute until the mushrooms are dark and soft and the onions are basically translucent.
Add everything to the now-warm milk broth. Add curry paste and stir enough to combine. Serve this soup warm.