Every year since 1996, at the end of May the "Taam Hair" food festival takes place.
The location is at Ganei Yehoshua (huge park), just near the exhibition center.
For a few days, the most famous restaurants of Tel Aviv can be found in the park. You can find there some great hamburgers or good steaks, food from the far east, amazing deserts and a lot of beer... :]
Its one of the most famous festivals in Tel Aviv, many people come around every year. The accessibility is great with many bus lines pass by and the University train station is located 5 minutes from the park.
Israel is a nation of immigrants from all around the world that gathered from their corners only in the last 60 years or so.
We don't REALLY have local foods, only foods we adopted as local and made some changes (we make the best foods in the world!)
First, there are the oriental dishes - the Falafel (fried chick-pea balls, a delight, veggie), the Shawarma (Doener Kebap in Germany, basically lamb-meat), Hummus (chick-pea spread), Tehina (spread made of sesamy), Malawah (some sort of flat leaf-dough, with tomato sauce), Pita (round bread with a space in the middle, where you can put shawarma, falafel, tehina, hummus or any other thing. my fave is Nutella) and many other things.
then, there is the 'jewish' (east european jews) cuisine - Gefilte Fish (gefuellte Fisch, ground carp fish with carrot), Zimmes (some kind of minature carrot dish) and other foods...
of course you can get any kind of food in Tel-Aviv, starting from Italian, thru chinese, and to the most bizzare - Indonesian and East asian fusion.
Just eat away!