Set up grill for direct cooking over high heat. Oil grate when ready to start cooking.
In a mixing bowl, stir to combine ground beef, soup mix, teriyaki marinade mix, and 1/4 cup reserved pineapple juice.
Form 4 patties slightly larger than bun. Gently press pineapple rings into tops of burgers.
Season burgers with salt and pepper and place on grill pineapple side down. Cook 8 minutes per side for medium.
Mix together mayonnaise, wasabi, and soy sauce.
Serve hot on toasted buns with lettuce, tomato, onions, and wasabi mayonnaise.
INDOORS: Follow instructions for preparing burgers. Preheat broiler. Place burgers pineapple side up on wire rack over foil lined baking sheet or broiler pan. Broil 6 inches from heat source for 4 to 5 minutes per side for medium.