Rinse the jasmine rice in cold water until the water runs clear, then cook according to package instructions using a 1:1.5 rice to water ratio.
In a small mixing bowl, whisk together the soy sauce, toasted sesame oil, rice vinegar, grated ginger, and honey until the dressing is emulsified.
Drain the tuna cans thoroughly and flake the meat into small chunks using a fork.
Divide the cooked rice into two serving bowls.
Top each bowl with flaked tuna, sliced cucumber, and avocado slices.
Drizzle the prepared soy-sesame dressing evenly over both bowls.
Garnish with sliced green onions and furikake.
Finish with a drizzle of sriracha mayonnaise before serving.