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Mix together Marinade ingredients in a bowl and add steak slices. Mix Stir-Fry Sauce ingredients together in a small bowl and have Stir-Fry Ingredients ready on a plate or cutting board.
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Heat oil in a wok or large skillet. Remove a spoonful of oil and add to marinated beef; toss to loosen up meat. Add beef to wok and spread in a single layer; let brown then flip to brown other side (do not overcook - you want it to be rare inside at this point). Remove beef from wok using a slotted spoon.
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Stir-fry ginger, white parts of scallion and asparagus in remaining oil until asparagus is crisp tender, about 2-3 minutes. Add Stir-Fry Sauce and beef; toss everything together and stir-fry another minute or two. Remove to serving bowl and sprinkle with toasted sesame seeds, if desired.