Heat the coconut and sesame oils in a large skillet over medium heat.
Add the mushrooms and cook, covered but stirring frequently, for 3 to 5 minutes, until the moisture has evaporated.
Add the kale and bell pepper, cover, and cook for another 3 to 5 minutes or until the kale is tender-crisp.
Remove the skillet from the heat and stir in the tamari, vinegar, and mirin.
Sprinkle the toasted sesame seeds over top and serve immediately.
Don't discard the tough shiitake stems!
Freeze them and add them to your next vegetable broth for an incredible umami depth.