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Cut the steak into strips across the grain with a sharp knife, then mix with the miso, grated ginger and grated garlic. Grind in some black pepper and toss really well to coat the meat.
Bring a medium pan of water to the boil, add the broccoli and blanch for 2 mins. Remove with a slotted spoon. Add the star anise, noodles and spring onions to the water, and cook for 5 mins until the noodles soften.
Meanwhile, heat the oil in a non-stick wok and stir-fry the steak for 1 min until it just changes colour. Remove from the pan and add the garlic slices, remaining ginger and mushrooms. Stir-fry until the mushrooms soften. If the wok looks a bit dry, splash in a little water from the noodles.
Return the steak to the wok, add the broccoli and toss well over the heat to warm through, adding a little more water to loosen the sauce a little. Drain the noodles and pile onto plates. Top with the stir-fry and serve drizzled with a little soy sauce or sesame oil, if you like.