Mix the teriyaki and sweet chile sauce in a bowl and set aside.
Brush the chicken with 1 tablespoon olive oil and lightly sprinkle with salt and pepper. Place the chicken on the grill. Brush the tops with the teriyaki-chile mixture and cook for 4 to 5 minutes, then flip. Brush the tops with the rest of the sauce and cook until cooked through, 4 minutes more. Just before they are done, flip them over again for a final minute to caramelize. Remove the chicken to a plate.
Oil the grill pan again if necessary, then add the pineapple and peppers. Cook until nice grill marks have formed, about 2 minutes per side. Remove.
Add the rice to the bottoms of 4 bowls. Slice the chicken and fan along the edge of each bowl. Fill the open space with the grilled peppers, pineapple and diced avocado. Garnish with the cilantro, sesame seeds and a slice of lime.