In a small bowl or jar, whisk together the olive oil, red wine vinegar, Dijon mustard, honey, oregano, garlic powder, paprika, salt, and pepper. Set the dressing aside.
Without separating the slider buns, carefully slice the entire slab in half horizontally with a long serrated knife. Place the bottom half on a cutting board or sheet pan.
Arrange the assorted deli meats in an even layer over the bottom slab of buns.
Place the provolone cheese slices on top of the meat, covering it completely.
Distribute the sliced tomatoes, red onion, and pickled banana peppers evenly over the cheese.
Pile the shredded iceberg lettuce on top of the other fillings.
Whisk the dressing again, then drizzle it evenly all over the lettuce.
Place the top half of the buns over the lettuce. Press down gently to compact the sliders.
Using a large serrated knife, cut between the buns to separate them into 12 individual sliders. Serve immediately.