Actually, I've confused myself. In North Hollywood, there is Dream Bakery, which is Georgian. And on Pico in the Fairfax district, there is a restaurant called Magic Carpet that serves Yemenite food and I believe they've got a version of this.
How different are these from the Armenian boreks? They have wonderful cheese boreks at Sasoun Bakery on Santa Monica. I'm sure other people can point you to specifically Israeli bakeries along Pico or in the Valley.