The British had the idea over a hundred years ago where the Prime Minister and the other Ministers would show up to be openly grilled by the members of Parliament. It is also possible in many countries for such a member of parliament to write a written letter to a Minister demanding they answer the question, and there is often a process to compel them to answer. A minister might also show up before a committee to be questioned, with the threat of perjury charges if they lie or mislead. According to the Sejm in Poland, in 2011-2015, over 30,000 questions were issued this way to Ministers.
How useful do you think this stuff is, and how might it be made better?