Preheat the broiler and line a rimmed baking sheet with foil. Put the pork on the prepared baking sheet, brush with the peanut oil and rub all over with the five-spice powder. Sprinkle the pork with salt and pepper. Broil, flipping once, until golden and an instant-read thermometer inserted into the thickest part of the meat registers about 145 degrees F, 15 to 20 minutes. Transfer the meat to a cutting board to rest for 5 minutes.
Meanwhile, whisk together the vinegar, ginger, mirin, soy sauce and lime juice in a small bowl. Whisk in the sesame oil and season with salt and pepper.
Slice the pork, drizzle with the vinaigrette and serve with the rice and broccoli.
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