Preheat your oven to 400°F and line a large rimmed baking sheet with parchment paper.
Rinse the chickpeas and pat them very dry with a clean kitchen towel to ensure they crisp up properly.
Place the chickpeas and broccoli florets on the baking sheet and drizzle with olive oil.
Sprinkle the garlic powder, smoked paprika, sea salt, and black pepper over the vegetables and toss until evenly coated.
Spread the mixture into a single layer and roast for 15 minutes.
Remove the pan from the oven, push the vegetables to one side, and add the shrimp to the empty space.
Return the pan to the oven and roast for another 5 to 7 minutes until the shrimp are opaque and the chickpeas are golden.
In a small bowl, whisk together the plain Greek yogurt and lemon juice until smooth.
Transfer the roasted chickpeas, broccoli, and shrimp to a bowl, drizzle with the yogurt sauce, and garnish with fresh parsley.