Bakery (not sweets):Tannourine
Excellent taboon style bread (10" flat breads fresh from the oven) as well as standard pita. FYI this stuff keeps really well in the fridge (up to two weeks) and even longer in the freezer. Feel free to stock up. Another FYI, always heat Arabic bread (unless it is baked the same day) before eating in a toaster or oven, otherwise you might as well tear off a piece of cardboard to scoop up your baba.
Sweets:Nazareth
Everything is excellent. I really like their walnut ma'amoul - semolina butter cookies filled with ground walnuts, sugar and cinnamon. Kul'aj is also a standout - milk custard in filo dough. Baklawa is excellent.
Grocery:Sahar Meat Market II
Excellent dry goods and a great affordable butcher. Their ma'anek (lamb sausages) are f'ing awesome. Pick up some lamb brains for good measure. They make you smarter!
Restaurants:For Palestinian skip Dawali and go to Salam. Ask about daily specials.
For Lebanese go to Khayameih, pick up an affordable bottle of wine next door at Andy's.
For Iraqi/Assyrian go to George's Kabab Grill. Do not order hummus/falafel/baba. Everything else is awesome.
Tannourine
4806 N Kedzie Ave
Nazareth Sweets
4638 N Kedzie Ave (next to Salam)
Sahar Meat Market II
4829 N Kedzie Ave
Salam (next to Nazareth)
Al-Khayameih
4748 N Kedzie Ave
George's Grill Kabab
3216 W Lawrence Ave
Have fun. Report back.
"By the fig, the olive..." Surat Al-Teen, Mecca 95:1"