Prepare the brown rice according to package instructions and set aside to cool slightly.
In a small glass bowl, whisk together the lime juice, tamari, honey, chili flakes, and sea salt until the honey is fully dissolved.
Heat the toasted sesame oil in a large skillet over medium-high heat.
Add the shrimp to the skillet and sauté for 2-3 minutes per side until they are pink, opaque, and slightly charred.
Pour half of the prepared lime-tamari sauce over the shrimp in the pan, tossing for 30 seconds to glaze them, then remove from heat.
Place the cooked brown rice in the bottom of a serving bowl.
Arrange the glazed shrimp, diced cucumber, shelled edamame, and sliced avocado on top of the rice.
Drizzle the remaining sauce over the entire bowl and garnish with freshly sliced green onions before serving.