Marinate the chicken: In a large bowl, combine the chicken tenders with paprika, garlic powder, salt, white pepper, Worcestershire sauce, and vinegar. Mix well until the chicken is evenly coated. Let it marinate for 10-15 minutes to soak up all those flavors.
Make the Caesar dressing: In a medium bowl, combine the minced garlic, anchovy paste, lemon juice, Dijon mustard, and Worcestershire sauce. Whisk together until well combined. Add the mayonnaise and Greek yogurt, whisking until smooth. Stir in the freshly grated Parmigiano-Reggiano, salt, and black pepper. Taste and adjust seasonings as needed. Cover and refrigerate until ready to use. (This can be made up to 5 days ahead!)
Add egg, buttermilk and cornstarch: To the same bowl with the marinated chicken, crack in one egg and add the cornstarch. Mix everything together until the chicken is completely coated in a thick, sticky mixture.
Prepare the breading: In a separate shallow bowl, combine the panko breadcrumbs and grated Parmesan. Mix them together so they're evenly distributed.
Bread the chicken: Take each chicken strip and press it into the panko-Parmesan mixture, making sure to coat both sides generously. Press lightly so the coating really sticks. Place the breaded tenders on a plate and repeat with the remaining chicken.
Heat the oil: Pour oil into a large frying pan until it's about 1-2 inches deep. Heat over medium heat until the oil reaches 350-375°F, or until a small piece of bread dropped in sizzles immediately.
Fry the chicken: Working in batches so you don't overcrowd the pan, carefully add the breaded chicken tenders to the hot oil. Fry for about 3-4 minutes per side, until they're golden brown and crispy and cooked through (internal temp should be 165°F).
Drain: Remove the cooked tenders and place them on a wire rack or a plate lined with paper towels to drain off any excess oil.
Reserve some dressing: Set aside a small portion of the Caesar dressing in a separate bowl for dipping the chicken tenders.
Dress the salad: In a large bowl, toss the chopped romaine lettuce with the remaining Caesar dressing. Add some extra shaved Parmesan and toss again.
Assemble and serve: Plate the dressed romaine and top with the crispy chicken tenders (you can leave them whole or slice them up). Add croutons, extra Parmesan, and serve with the reserved Caesar dressing on the side for dipping. Enjoy immediately while the chicken is hot and crispy!