Preheat the grill: Heat your grill to medium-high heat and lightly oil the grates if needed.
Form the patties: Place the ground meat in a bowl and season with salt, pepper, and teriyaki sauce. Mix gently until combined, then shape into four patties about 1 inch thick.
Grill the patties: Place the patties on the hot grill and cook for about 4–5 minutes per side, or until cooked through. If using cheese, add a slice during the final minute and let it melt.
Grill the pineapple: Place the pineapple rings on the grill and cook for 2–3 minutes per side, until lightly charred and caramelized.
Toast the buns: Cut the brioche buns in half and toast them cut-side down on the grill for 1–2 minutes until lightly golden.
Assemble: Spread spicy mayo or your preferred condiment over the buns. Add lettuce, a grilled patty, caramelized pineapple, tomato slices, and any additional toppings.
Serve: Serve the Hawaiian Teriyaki Pineapple Burgers immediately with sweet potato fries, a fresh salad, or your favorite barbecue side.