Preheat your oven to 400°F (200°C).
In a mixing bowl, whisk together the honey, Japanese BBQ sauce (or soy sauce), ground ginger, 1 tablespoon of olive oil, lemon juice, and minced garlic.
Add the raw shrimp to the bowl with the marinade, ensuring they are fully coated. Let them sit for about 15-20 minutes.
Chop the broccoli into florets, slice the yellow onion, and cut the red pepper into strips. Toss the veggies with 2 tablespoons of olive oil, salt, pepper, and the additional minced garlic until well coated.
Spread the marinated shrimp on one side of the sheet pan and arrange the seasoned veggies on the other side.
Place the sheet pan in the preheated oven and roast for about 15-20 minutes, stirring halfway through.
Once cooked, serve the shrimp and veggies over a bed of cooked rice, and sprinkle with sesame seeds.