Preheat your oven to 400°F and line a large baking sheet with parchment paper for easy cleanup.
Pat the chicken wings thoroughly dry with paper towels to ensure the skin becomes extra crispy during baking.
Season the wings evenly with sea salt and black pepper, then arrange them in a single layer on the prepared baking sheet.
Bake for 35 to 40 minutes, flipping the wings halfway through, until they are golden brown and the skin is crisp.
While the wings are in the oven, whisk together the honey, tamari, toasted sesame oil, minced garlic, and grated ginger in a small saucepan over low heat.
Simmer the sauce gently for 3 to 5 minutes until it thickens slightly into a glossy glaze, then remove from heat.
Steam the broccoli florets in a steamer basket over boiling water for about 5 minutes until they are tender-crisp and bright green.
Transfer the baked wings to a large bowl, pour the honey-garlic glaze over them, and toss until every wing is thoroughly coated.
Serve the sticky wings immediately, garnished with sesame seeds, alongside the steamed broccoli.