Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Pat the chicken wings completely dry with paper towels to ensure maximum crispiness.
Season the wings evenly with sea salt and black pepper, then place them on a wire rack set over the baking sheet.
Bake the wings for 35-40 minutes, turning halfway through, until the skin is golden brown and crispy.
While the wings are baking, mince the garlic cloves and finely grate the fresh ginger.
In a small saucepan over medium-low heat, whisk together the honey, tamari, minced garlic, grated ginger, and sesame oil.
Simmer the sauce for 4-6 minutes, stirring frequently, until it reduces slightly and becomes a thick, glossy glaze.
Steam the broccoli florets in a steamer basket over boiling water for 5 minutes until tender-crisp and bright green.
Transfer the baked wings to a large mixing bowl, pour the warm honey-garlic glaze over them, and toss until every wing is thoroughly coated.
Plate the sticky wings alongside the steamed broccoli and garnish with sesame seeds before serving.