Pete's Lebanese bakery has been in business for many, many years in Kenmore. They are a bakery/middle eastern grocery, not a restaurant. Their claim to fame: their delicious flatbreads. Not sure if the lebanese call them pitas or not, but when they are warm from the oven, they are just the best. Not really a pocket-type pita, it is a little thinner than the greek variety and not as greasy. They are prefect for ripping apart and dipping, making a big wrap, or for thin crust pizzas. And of course you can enjoy them with all the homemade middle-eastern specialties on sale at Pete's...they have falafel patties either fresh or frozen depending on the day, killer taboulleh salad, seriously tasty spinach and meat pies, and desserts (more than likely all containing honey).
The dry grocery section is not huge, but has some middle-eastern spices, grains, syrups, grape leaves, candies, etc. Prices for the bread are very reasonable and totally worth it. The prices for certain homemade foods and grocery items are a wee bit steep, but once again, totally worth it (especially if you are short on time or can't make the stuff yourself).
One strange thing about this place is the buzzer attached to the slowly-closing first screen door. It is insanely loud and long so that the workers in the back can hear over the noise of the dough stretching machines. it might be alarming to a first time visitor...just try to close the screen door behind you quickly if noise bothers you. I just wonder how the workers can stand hearing it all day long.