In a pot of boiling water, cook the ramen noodles according to package instructions (usually 3-4 minutes). Drain and set aside.
In a medium bowl, whisk together the vegetable broth, soy sauce, miso paste, sriracha, grated ginger, and minced garlic until smooth.
In a large skillet or wok, heat the sesame oil over medium heat.
Add the bok choy, carrot, and red bell pepper to the skillet. Stir-fry for about 3-4 minutes until the vegetables are slightly tender but still crisp.
Pour the sauce mixture into the skillet with the sautéed vegetables. Bring it to a gentle simmer and let it cook for 2-3 minutes to allow the flavors to meld.
Add the cooked ramen noodles to the skillet and toss gently to coat them evenly in the saucy mixture. Cook for an additional 1-2 minutes, until everything is heated through.
Divide the saucy ramen noodles into serving bowls. Garnish with chopped green onions and a sprinkle of sesame seeds. Serve with lime wedges on the side for an extra tang.