Combine soy sauce, rice vinegar, brown sugar, honey, sesame oil, garlic, ginger, salt, crushed red pepper flakes, cornstarch, and water in a bowl. Whisk until fully combined and set aside.
Preheat the oven to 400°F (200°C) and optionally line a baking tray with non-stick foil.
Place salmon cubes in a bowl and drizzle with 3-4 tablespoons of the prepared teriyaki sauce. Mix well to ensure all pieces are coated and let marinate for at least 30 minutes.
Place the marinated salmon cubes on the prepared baking tray and bake for 9-12 minutes, or until cooked to your liking. Allow to rest after baking.
In a separate pan, bring the reserved teriyaki sauce to a gentle simmer. Mix cornstarch and water to make a slurry, then stir into the sauce. Whisk until thickened, about 3 minutes.
While the salmon marinates, prepare the jasmine rice, edamame, cucumber, carrot, and avocado for the bowls.
Divide the cooked rice, edamame, cucumber, carrots, and avocado among four bowls.
Top each bowl with the baked salmon, drizzle with thickened teriyaki sauce, and garnish with green onions and sesame seeds. Serve immediately.