Bring a couple of inches water in a skillet to a boil, over medium heat. Salt the water and add the broccolini. Cook until crisp-tender, about 3 minutes. Drain, run under cold water and reserve. Return the skillet to the stove top over medium to medium-high heat and add the 1/4 cup extra-virgin olive oil, 4 turns of the pan. When the oil is hot, add the anchovies and stir to melt them into the oil. Stir in the red pepper flakes, the garlic, capers, parsley and all the vegetables including the reserved broccolini. Transfer to a serving dish and serve.