For the croutons: Preheat a convection oven to 400 degrees F or a regular oven to 425 degrees F and line a sheet pan with parchment paper.
Toss the bread in the oil, salt and pepper in a bowl. Spread on the lined sheet pan
and toast, turning the pan halfway through, until evenly golden brown, 8 to 10 minutes. Remove the croutons to a bowl and toss with the Parmesan. Allow to cool, then place in an airtight container.
For the dressing: Combine the egg yolk, anchovies, roasted garlic and salt in a large mixing bowl. Using the back of a spoon, mash the ingredients together to form a uniform paste. Add the mustard and Worcestershire and continue to blend until fully combined. Season with salt and pepper. Add the Parmesan and whisk together. Slowly add the olive oil while whisking to emulsify. Add the vinegar and lemon juice and whisk until combined. Adjust the consistency with up to 1/2 cup water if needed. Season to taste.
For the salad: Add the lettuce to the bowl with the dressing and toss lightly until coated. Arrange the lettuce on chilled salad plates. Garnish with the croutons and shaved Parmesan.