Make the dressing: In a small bowl, whisk together the olive oil, lemon juice, red wine vinegar, shallot, garlic, dried oregano, salt, and pepper. Set aside for a few minutes to allow the flavors to meld.
Make the salad: In a large bowl, add the romaine lettuce, radicchio, cucumber, red onion, cherry tomatoes, salami, chickpeas, Kalamata olives, pepperoncini, and feta cheese. Whisk the dressing and drizzle onto the salad. Toss to combine. Divide among plates and enjoy!
Make it vegan: Sub in 1 diced avocado for the salami and a plant-based cheese for the feta (or leave it out).