1In a small bowl, combine the ketchup, soy sauce, brown sugar, pineapple, ginger, garlic and sesame oil; set aside.
2In a large bowl, combine the egg white, bread crumbs, onions, crushed pineapple and 3 tablespoons reserved ketchup mixture. Crumble beef and turkey over mixture and mix well. Shape into six burgers.
3Using long-handled tongs, moisten a paper towel with cooking oil and lightly coat the grill rack. Grill burgers, covered, over medium heat or broil 4 in. from the heat for 5-7 minutes on each side or until a meat thermometer reads 165° and juices run clear, brushing occasionally with remaining ketchup mixture.
4Grill or broil pineapple slices for 2-3 minutes on each side or until heated through. Serve burgers and pineapple on buns with lettuce and tomato.