Preheat your oven to 425°F (220°C) and line a large baking sheet with parchment paper or a silicone mat for easy cleanup.
In a blender or small processor, pulse the chipotle peppers in adobo sauce, garlic, honey, lime juice, smoked paprika, and a pinch of salt until you have a thick, slightly smoky paste.
Pat the chicken thighs dry with paper towels. Toss them with half of the chipotle glaze and 1 tablespoon of olive oil in a large bowl, coating evenly. Let them marinate briefly while you prepare the broccoli.
On the prepared sheet pan, spread the broccoli florets in a single layer. Drizzle with the remaining olive oil and a pinch of salt and pepper.
Nestle the marinated chicken thighs among the broccoli, giving each piece a little space so they roast rather than steam.
Brush or spoon any remaining glaze over the chicken to intensify the flavor as it roasts.
Roast for about 18–22 minutes, or until the chicken reaches an internal temperature of 165°F (74°C) and the broccoli is crisp-tender with slightly charred edges.
If you like a deeper roast, switch to a quick broil for 1–2 minutes at the end—watch closely to prevent burning.
Remove from the oven and let rest for 5 minutes. Squeeze a little extra lime juice over the top and serve warm.