Well, Citron and Rose may not be 'typical' Israeli food;
it's more of an fun take on Eastern European foodways,
but I thought it was pretty terrific. It is Glatt Kosher,
but all my negative thoughts about delicacy and comparative
quality to an upscale non-Kosher place melted away.
It is also not in Philly technically, but in Merion Station, on
the main drag, served by a PHilly bus.
Outstanding service; energetic vibe, not pretentious at all.
Pricey, but worth it IMO.
Not Kosher, but sure felt echt Israeli to me would be Zahav.
Depends what you're looking for... Mama's Vegetarian is easily the best for Israeli-style falafel, they bake their own pita too and also do sabich and have good burakas. Meat stuff I don't know of any spectacular places but there are some decent options like Hamifgash for schwarma. Kanella, a Cypriot restaurant, makes really good shakshouka for brunch. The shakshouka at La Va is pretty good too (Israeli owned coffeeshop). I have also heard really good things about the shakshouka at Soup Kitchen Cafe in Fishtown. Burger.org has good chicken schnitzel but the rest of the food is pretty bad -- it's kosher burgers with some Israeli-style stuff on the menu.
Then there is Zahav which is an elevated take on Israeli cuisine. Definitely worth a visit but not traditional food -- though their hummus is the best around and the same style as what you would get in Israel. Good salatim like roasted eggplant as well. Mama's hummus great too.
Edit -- I just saw that La Va now has a dinner menu with lots of Israeli dishes, looking forward to trying this soon.