Mix the sauce: In a small bowl, whisk the soy sauce, oyster sauce, rice vinegar, honey, chicken broth, cornstarch, and sesame oil until smooth.
Set aside.
Pat the shrimp dry: Use paper towels to remove excess moisture. This helps them sear instead of steam. Lightly season with a pinch of salt and pepper.
Preheat your pan: Set a large skillet or wok over medium-high heat.
Add 1 tablespoon oil and let it get hot until shimmering.
Sear the shrimp: Add shrimp in a single layer. Cook 1–2 minutes per side until just opaque and lightly golden. Transfer to a plate.
Do not overcook.
Cook the veggies: Add the remaining 1 tablespoon oil. Toss in broccoli and carrots. Stir-fry 2–3 minutes, then add bell pepper and the white parts of the green onions.
Cook another 2 minutes until crisp-tender.
Add aromatics: Push veggies to the sides. Add garlic, ginger, and red pepper flakes to the center. Stir 30 seconds until fragrant, being careful not to burn the garlic.
Sauce it up: Whisk the sauce again (cornstarch settles), then pour it into the pan.
Stir constantly 30–60 seconds as it thickens and turns glossy.
Finish with shrimp: Return shrimp and any juices to the pan. Toss to coat and warm through, about 30–60 seconds. Remove from heat.
Garnish and serve: Top with green onion tops and sesame seeds.
Serve immediately over rice or noodles with a squeeze of lime if you like a bright finish.