In a medium bowl, mix the ground chicken with breadcrumbs, egg, paprika, salt, and pepper. Gently combine until just merged; avoid overworking the meat so the burgers stay tender.
Form the mixture into four evenly sized patties. If the mix feels loose, chill them for about 10 minutes to help them hold together.
Preheat a skillet over medium heat with a light coating of oil. Cook the patties for 5 to 6 minutes per side, until they reach an internal temperature of 165F (74C) and are nicely browned.
While the burgers cook, prepare the avocado salsa. Dice the avocado and toss with chopped red onion, lime juice, cilantro, and tomato. Add a pinch of salt to brighten the flavors.
Toast or warm the burger buns briefly. Assemble by placing a chicken patty on each bun, adding a generous spoon of avocado salsa on top, and finishing with the top bun.
Serve immediately. A simple side like a green salad or baked sweet potato fries pairs nicely with these burgers.