Place chicken breasts in a slow cooker with chicken broth, smoked paprika, garlic powder, salt, and black pepper. Cook on low for 4 hours (or high for 2 hours). Once done, shred with two forks.
Make the BBQ Sauce
While the chicken is cooking, combine all BBQ sauce ingredients in a saucepan over medium heat. Simmer for 5 minutes, stirring occasionally, until thickened. Set aside.
Mix the Chicken
Toss the shredded chicken with the BBQ sauce.
Prepare the Slaw
In a bowl, mix shredded cabbage, mayonnaise, apple cider vinegar, honey, salt, and black pepper. Stir to combine and refrigerate until ready to use.
Assemble the Sliders
Slice slider buns in half and brush with melted butter. Toast them on a baking sheet in a 375°F oven for 5 minutes until golden.
Build & Serve
Pile BBQ chicken onto the bottom buns, top with slaw, then cover with the top buns. Sprinkle with sesame seeds if desired. Serve immediately!