Crisp up the rice. (Note: do not use warm rice!) Preheat an oven to 400°F, then line a rimmed baking sheet with parchment paper. Place 2 cups of cooled rice on top, then add 2 Tbsp chili crunch, 1 Tbsp olive oil, 1 tsp sesame oil, and 1 tsp low-sodium soy sauce. Toss very well until the rice is evenly coated, then spread into a thin, even layer. Transfer to the oven, then cook for about 35-40 minutes, tossing every 15 minutes (twice during cook time). You want the rice to be crispy!
Make the dressing. Combine ¾ cup mayonnaise, 2 anchovies, 2 Tbsp parsley, 2 Tbsp lemon juice, 1 Tbsp grated Parmesan, 1 clove of garlic, and 1½ tsp Dijon mustard in the bowl of a food processor fitted with blade attachment. To make the dressing more pourable, I like to add 1-2 Tbsp water, but this is optional. Process until smooth and creamy, about 30 seconds, scraping down the sides as needed.
Cook the halloumi. Preheat 2 Tbsp olive oil in a nonstick skillet over medium-high heat. Add halloumi slices, then cook for 1-2 minutes per side, until golden brown. Remove from the heat, transfer to a cutting board, then chop into bite-size pieces. Set aside.
Combine all salad ingredients in a bowl. In a large bowl, combine thinly sliced Romaine lettuce and Brussels sprouts, crispy rice, chopped halloumi, sliced scallions, ½ cup shaved Parmigiano Reggiano, ⅓ cup toasted pine nuts, and ½ tsp freshly ground black pepper.
Add dressing. Pour on as much of the Caesar dressing as you like, then toss to thoroughly coat. Give the salad a taste before plating, then adjust seasoning as needed.
To serve: Divide crispy rice salad onto plates, top with a few extra slices of scallions, then drizzle with extra virgin olive oil and a generous pinch of flaky sea salt. Enjoy!