What type of government do saudi arabia, iran, and israel have?

Saudi Arabia is a monarchy. 
The leader of Saudi Arabia is King Salman. 
He became king when his father, King Abdullah, died.

Iran is a theocracy, governed by Islam.  The country has an
elected president, parliament, and "Assembly of Experts". 
According to the constitution all candidates running for these
positions must be approved by the Guardian Council before
being elected.  Finally, the Assembly of Experts appoints the
Supreme Leader, who has the final say.

Israel is a parliamentary democracy, with a great number of active
political parties, freedom of speech and religion, several very vocal
newspapers, and a strong judicial system (courts).  The members of
parliament are elected by all citizens of the country, including men
and women, of all religions and ethnicities.  There is no 'test' for
citizenship that specifies any religious, ethnic, or gender qualification
or requirement.