Add Old Jerusalem to that list!
Jonathan Kauffman wrote about Aroma’s Hamati pita, a company out of San Bruno that distributes a similar type of Palestinian/Israeli style pita to restaurants and grocery stores. I learned about the stuff from Israeli roommates who got it at Berkeley Bowl, and I’ve gotten it in SF at a few Middle Eastern markets as well as Valencia Farmer’s Market.
Once I got exposed to this type of bread, I’ve never been able to fully enjoy Mahmoun’s falafel of Manhattan/New Haven, which uses the flavorless pita common in the US