Combine the garlic, ginger, green onions, cilantro, soy sauce, rice wine vinegar, and sesame oil to a large bowl and stir to combine. Add the ground turkey and use your hands to gently mix. Divide the mixture into 6 balls then form each one into a patty.
Prepare the sriracha lime mayonnaise by combining the mayonnaise, sriracha, lime zest, and lime juice together in a bowl. Mix until well combined. Set aside.
Heat a large grill pan coated with cooking spray over medium-high heat. Cook the burgers for about 4 minutes per side, or until they are cooked through.
Place the burger on a bun with a bit of spicy mayonnaise on it. Top the burgers with a little more of the spicy mayo, tomatoes, mixed greens, and avocado followed by the other bun. Serve immediately. Enjoy.