Sounds great in many regards. However, it looks like Israel is happy to have us visit for 90 days, but not interested in having us relocate there for an extended period, unless there is a local business who wishes to sponsor us.
I believe the OP said he has a European passport which would probably permit him to work in most parts of Europe. The US apparently is not an option because of it's immigration restrictions, so we probably could not consider Israel an option because of it immigration restrictions also.
Actually the rules seem to vary pretty widely. All of them require some sort of application, but while some countries really aren't interested in immigrants, others will approve anyone who is reasonably qualified.