Heat the olive oil in a medium pot over medium heat. Add the frozen onion, cooking until slightly translucent, about 3 minutes. Add the garlic and ginger and cook until aromatic, about 1 minute.
Pour the vegetable broth into the pot and bring to a boil. Add the frozen rice, broccoli, and shrimp. Reduce heat to a simmer and cover for 10 to 15 minutes. The shrimp will be a bright pink color when it is done cooking.
When the the shrimp is fully cooked, remove the pot lid and stir in the honey and soy sauce. Season with salt and pepper and garnish with optional red pepper flakes.