01 - Set the air fryer to 400°F (200°C) to preheat.
02 - Separate onion slices into individual rings and reserve the smaller inner pieces for other uses.
03 - Arrange three shallow bowls: mix flour, salt, and black pepper in the first; whisk eggs and buttermilk in the second; combine panko breadcrumbs and smoked paprika in the third.
04 - Dredge each onion ring in the flour mixture, shake off excess, dip into the egg mixture to coat thoroughly, then press into the panko blend until evenly coated.
05 - Place breaded onion rings in a single layer in the air fryer basket and lightly spray with olive oil.
06 - Cook for 10 to 12 minutes, flipping halfway through and reapplying olive oil spray, until rings are golden brown and crisp.
07 - Combine mayonnaise, ketchup, yellow mustard, chopped pickles, pickle juice, garlic powder, smoked paprika, salt, and pepper in a small bowl; mix well and adjust seasoning to taste.
08 - Serve the hot crispy onion rings with the tangy burger sauce on the side.