This salad combines the smokiness of grilled new-potatoes and roasted red peppers with bursts of flavor from anchovies, capers, and black olives.
Heat grill or oven to 450 degrees. Roast peppers on grill or over gas flame until charred on all sides. Place in a bowl, and cover with plastic wrap until cool enough to handle. Remove skin by rubbing with a paper towel. Remove seeds and stem, cut pepper into 1/4-inch-thick strips, and set aside.
In a bowl, combine potatoes, 2 tablespoons olive oil, and 1/2 teaspoon salt. Grill potatoes until browned on both sides and tender, or roast on a baking tray in oven until nicely browned, about 40 minutes, turning halfway through cooking time.
Make the dressing: Finely chop anchovy fillets, and place in a medium bowl. Add vinegar, remaining 1/2 teaspoon salt, and pepper; whisk to combine. Slowly whisk in remaining 1/4 cup olive oil.
Combine potatoes, roasted red peppers, capers, olives, parsley, and dressing in a bowl, and toss to combine. Serve warm or at room temperature.