It would be neat if certain positions within your government cabinet (though not truly "cabinet" positions) could be filled with characters outside of the control of the player.
Whether these positions are directly appointed by the player or are filled by some other system could be determined based on the laws and government form of the country in question, for example, a bicameral democracy like the American style republic, could have the positions of "Upper House Majority Leader" and "Lower House Majority Leader" who are elected by the population of the country rather than appointed by the player to represent the controlling party of the legislative houses, while a country with a state religion of Catholicism and a high amount of church autonomy could have a "Religious Leader" position such as an Arch-Bishop that is appointed by the Papal States via event when the previous arch-bishop dies.
Certain other policies could allow for options like being able to choose which specific character holds a position as long as said character is a member of the majority party, or in government forms without voting the player could appoint their Upper House Majority Leader position freely to change what political party is in control of the government similar to how absolutist monarchies can change their party alignment practically at will in Victoria 2.
A system like this would allow for scenarios such as the the legislative houses being elected more often than the executive branch, and you can have your country flip in party majority between elections, leading to your executive and legislative branches being controlled by different political parties which could cause political friction and make changing laws more difficult, as well as conflicts between church and state due to the player not having the ability to chose their religious leader.
It would be neat if certain positions within your government cabinet (though not truly "cabinet" positions) could be filled with characters outside of the control of the player. Whether these positions are directly appointed by the player or are filled by some other system could be determined based on the laws and government form of the country in question, for example, a bicameral democracy like the American style republic, could have the positions of "Upper House Majority Leader" and "Lower House Majority Leader" who are elected by the population of the country rather than appointed by the player to represent the controlling party of the legislative houses, while a country with a state religion of Catholicism and a high amount of church autonomy could have a "Religious Leader" position such as an Arch-Bishop that is appointed by the Papal States via event when the previous arch-bishop dies.
Certain other policies could allow for options like being able to choose which specific character holds a position as long as said character is a member of the majority party, or in government forms without voting the player could appoint their Upper House Majority Leader position freely to change what political party is in control of the government similar to how absolutist monarchies can change their party alignment practically at will in Victoria 2.
A system like this would allow for scenarios such as the the legislative houses being elected more often than the executive branch, and you can have your country flip in party majority between elections, leading to your executive and legislative branches being controlled by different political parties which could cause political friction and make changing laws more difficult, as well as conflicts between church and state due to the player not having the ability to chose their religious leader.