Just wanted to put in another plug for Aladdin's on Old Seward Hwy near Tudor. Sadly, no website, and a car is pretty much required, but Rabah's food is to die for.
He catered a wedding we attended last night (he's been more or less adopted as semi-official caterer-in-chief for Jewish events in Anchorage) and delivered a knockout menu - lamb, halibut, vegan moussaka, "bread of Tunisia" (sort of like baklava without the filo) - all just outstanding. His restaurant (nondescript, in a strip mall) is friendly, the prices excellent, and absolutely worth the cab fare if one doesn't have wheels. One of the best Middle Eastern restaurants in the country IMO.