Are there any other instances in the world where a country is in a situation similar to Israel, where all its land neighboring countries consider it an enemy?
While Israel does have peace treaties with Egypt and Jordan, the people in those countries still hold a negative view of Israel. See Egypt and Jordan.
The remaining two countries, Lebanon and Syria are in a state of war with Israel.
Palestine has both, a state of war in Gaza, and peace deal with tensions and conflicts in the West Bank, so people in the two parts still view Israel as an enemy.
Edit: Can countries still be enemies after signing a peace treaty?
I had initially removed this part of the question in response to a request in a comment, but doing so led to the type of comments I had hoped to avoid. Therefore, I am reinserting it.
I think it is still possible for one or two countries to continue viewing each other as enemies even after signing a peace deal. A peace deal or treaty may mark the formal end of hostilities and conflict, but it doesn't necessarily mean that all underlying issues or historical grievances are fully resolved. Sometimes, political, economic, or ideological differences can persist, leading to ongoing tensions or a perception of enmity between the two nations. In such cases, the peace deal might help prevent further conflict, but it may not completely eliminate the perception of enmity between the countries