Start by cooking the rice according to package instructions and set it aside, keeping it warm.
In a small bowl, whisk together soy sauce, honey or brown sugar, mirin or rice vinegar, water, cornstarch, garlic, and ginger until smooth.
Heat oil in a large skillet over medium-high heat.
Add the shrimp and cook for 1–2 minutes per side until they turn pink and are just cooked through.
Reduce heat to medium and pour the prepared teriyaki sauce into the skillet.
Let the sauce simmer for 2–3 minutes, stirring gently, until it thickens and coats the shrimp evenly.
Remove from heat once the shrimp are glazed and shiny.
Divide cooked rice into bowls and top with teriyaki shrimp, broccoli, carrots, and avocado.
Garnish with green onions and sesame seeds before serving.