Lebanese in Rockland County?
Turquois Grille is an excellent restaurant with very tasty food. I'd stick with the appetizers unless you are a major fan of large portions of grilled meats. Order one of the appetizer platters...and ask for extra grape leaves because they are fantastic, very tender with delicious filling. Also, don't fill up on the pide bread and olive oil loaded with different seeds.
In Bergen County:
Bennie's (Lebanese), in Englewood, on Palisade Ave off of Grand. Great mezze and sandwiches. I'm sure the entrees are worthy as well, but I don't have much experience other than for takeout and at lunchtime. The spicy eggplant is my fave, but the smoky babaghanoush is also top notch.
Samdan (Turkish), in Cresskill, on Piermont off of Union Ave.- I like the babaghanoush better than Bennie's, wonderfully smoky but not as much tahini. Other things that just flat out rock- the ezme, yaprak sarma(?) (grape leaves), lentil soup, and pilaki.
There is a recent arrival in Tenafly called Walla!, which is Yemeni. I have gotten some great sandwiches there, particularly one made with scrambled egg on a fluffy griddle bread. The accompanying condiments (tomato puree and pepper zhoug) put it in the class of the awesomest street food. The pita breads seem to be made on site as well (and if they aren't, they definitelt aren't that store-bought stuff).
There's a place in West Nyack called Rashaad's, but it's really a bagel shop/deli that also serves felafel, etc, not a real restaurant. They do have a few tables, and the food is generally very fresh and flavorful.
If you're looking for more of a sit-down, tablecloth place, there's a wonderful Turkish restaurant in Airmont--Turkoise Grille. www.turkoisgrille.com