High-heat roasting is the best for getting broccoli crispy and tasty. Use a heavy-duty baking sheet that won't warp in the oven. Use this same technique for Brussels sprouts or cauliflower. Any leftover breadcrumbs are great for pasta dishes or casseroles.
Preheat the oven to 450 degrees F. Cut the broccoli into florets that are about equal in size.
Place the broccoli in a heavy-duty sheet pan and toss with the olive oil using your hands. Season evenly and generously all over with salt. Add freshly ground black pepper.
Roast the broccoli in the oven until the florets brown in spots, turning once, about 15 minutes.
Meanwhile, heat the bacon drippings or melt butter in a medium skillet over medium heat. Add the breadcrumbs and toss until thoroughly combined. Continue toasting until they breadcrumbs are evenly golden brown, about 3 minutes.