How about wraps. Do you like them. I think rotisserie chicken can go well with any ethnic cuisine.
I like to make thai style chicken wraps. You can use the leftover chicken as a filling. Make a salad of shredded cabbage, carrots and some bean sprouts. Toss them with a little lime juice, chilli powder, sugar and fresh cilantro.
Make a peanut sauce - with peanut butter, soy sauce, garlic, chilli sauce, sugar and pinch of salt.
To assemble use a large flour tortilla, add the chicken, top it with the peanut sauce and salad. Roll, cut at a diagonal and serve
You can make a similar version and make it mexican by making a salsa of black beans, corn, tomatoes, chillies and cilantro along with lime juice. Place this in the tortilla on top of the chicken and then add some lettuce and cheese of your choice.
Finally shwarma is a good sandwich that I make often (I just posted the recipe on the Lamb forum) if you want to try that. It has a middleastern flair and is made with pita and either lamb or chicken leftovers. Both versions taste good.