Cook the brown rice in a rice cooker or on the stove top. Allow it to cool.
Mix together the edamame, rice vinegar, and agave.
Set out 4 bowls as the ingredients will be evenly divided among them. Place the lettuce in a bowl, topped with the rice, cucumber, carrot, green onion, sesame seeds, nori and avocado. Drizzle with vinaigrette and toss.
To Make the Green Onion-Miso Vinaigrette: Put everything in a blender and blend until smooth. Chill until ready for use.