Marinate the chicken. In a medium bowl, whisk together the lime juice, 1 teaspoon olive oil, chili powder, smoked paprika, cumin, garlic powder, salt, and black pepper, then add the chicken strips and toss to coat well while you prep the other ingredients.
Heat the rice and veggies. Warm the microwaveable brown rice according to package directions, then stir in the black beans and corn and season lightly with a pinch of salt if desired.
Cook the chicken. Heat the remaining 1 teaspoon olive oil in a large skillet over medium-high heat, add the marinated chicken in a single layer, and cook for 3–4 minutes per side until browned and cooked through.
Build the bowls. Divide the rice, bean, and corn mixture between two bowls, then top each with shredded cabbage, cooked chili-lime chicken, and sliced avocado.
Finish and serve. Drizzle each bowl with Greek yogurt, sprinkle with cilantro and red pepper flakes if using, add a lime wedge on the side, and serve right away.