In a large wok or skillet, heat the sesame oil over medium-high heat until it shimmers.
Add the grated ginger and minced garlic to the pan, sautéing for about 30 seconds until they become aromatic but not burnt.
Introduce the sliced red bell pepper, broccoli florets, sugar snap peas, julienned carrots, and sliced mushrooms to the wok. Stir-fry the mixture for approximately 5-7 minutes, stirring frequently, until the vegetables are vibrant and tender-crisp.
In a small mixing bowl, whisk together the soy sauce and honey (or maple syrup) until combined. Pour this flavorful mixture over the stir-fried vegetables, tossing everything to ensure the vegetables are evenly coated.
Continue cooking for another 2-3 minutes, allowing the sauce to lightly caramelize on the vegetables, enhancing the flavors.
Once the vegetables are cooked to your liking, remove the wok from heat. Sprinkle the stir-fry with the sliced green onions and toasted sesame seeds just before serving.
Notes
For an attractive presentation, serve the stir-fry atop a fluffy bed of jasmine rice or quinoa.