⅓ cup sliced red onion
¾ cup grated Parmesan cheese, divided
¼ cup extra-virgin olive oil
1 large egg yolk (see Tip)
2 tablespoons lemon juice
1 clove garlic, peeled
1 ½ teaspoons anchovy paste or 2 anchovy fillets, minced
½ teaspoon Dijon mustard
¼ teaspoon kosher salt
¼ teaspoon ground pepper
5 cups chopped romaine lettuce
5 cups baby spinach
4 cups chopped kale
Preheat oven to 350 degrees F. Line a large baking sheet with a silicone baking mat or parchment paper.
Place onion in a small bowl and cover with ice water. Set aside.
Spread 1/2 cup Parmesan into a 9-by-7-inch oval on the prepared pan. Bake until lightly browned and crisp, 10 to 14 minutes. Let cool on a wire rack.
Meanwhile, combine oil, egg yolk, lemon juice, garlic, anchovy, mustard, salt and pepper in a food processor (preferably a mini food processor). Process until creamy. Add the remaining 1/4 cup Parmesan and pulse to combine.
Combine romaine, spinach, kale and the dressing in a large bowl and toss to coat. Transfer to a serving platter. Drain the onion and pat dry with paper towels. Break the Parmesan crisp into large pieces and scatter over the top of the salad along with the onion.