I am EU citizen (Greece). I was in Israel 2 weeks ago and I stayed around 3 months. I left 3 days before my tourist visa expired. How long am I supposed to stay out of Israel after 3 months tourist visa has expired in order to get another tourist visa?
Israel does not seem to require a tourist to stay out of Israel for a certain period before requesting another visa. None of their visa information pages mention it.
Theoretically, you could just leave briefly (ex. hop over to Jordan and back) and get a new visa on entry an unlimited number of times, but this could raise suspicions that you are doing business in Israel, and you are strictly prohibited from working on a tourist visa.
To my knowledge, there's no time requirement. You simply have to exit the country and then re-enter, and you'll get a new tourist visa.
You do need to be careful, as if you do that enough times they'll start to get mad, since you're not supposed to abuse it to get an de facto residency visa. That being said, you can.