There is a least a couple of DZs in Israel, where one is supposed to be more friendly towards fun-jumpers than the other.. all within an hour or so from Tel Aviv..
Except for that I haven't heard much about DZs in that area.. There was some talk about a DZ in Jordan, but don't know if it is permanent or only open every now and then..
For NA there is nothing in Egypt (they're trying to get a commercial DZ going it seems) and Libya. Don't know about Tunisia, Algeria and Marocco but you're probably more likely to find something there than anywhere else in NA.