This is talked about constantly, but rarely ever acted on. We need some clear and fundamental principles of how quangos are to be dealt with. (These are agencies that effectively have state power, but without being part of the elected government. So for example the Bank of England has the power to set interest rates, but it is not run by elected politicians, and was specficially given this power to get it away from democratic control.) Quangos are basically an expression of the idea that it is actually GOOD to get things away from democratic control and leave them to be run by “the experts”, an idea which was kicked into high gear by the election of Tony Blair in 1997.
The dumb approach people take is “abolish all quangos”, but that isn’t really tenable, if you look at the list of quangos - " Agencies and other public bodies" Departments, agencies and public bodies - GOV.UK , some of them are centuries old and clearly needed to exist long before the recent anti democratic explosion of them (for example the Royal Mint is technically a quango), while many of them could indeed be abolished.
For those that are kept, what we should have is principles controlling them, like for example it should be possible for the government to override them automatically when they do anything it doesn’t like (see the recent Sentencing Council issue where they literally just told the Justice Minister they didn’t care what she said and were going to ignore her).
The basic principle is that they should be subordinate to democratic control, not set up as a way to ignore it. Every quango should be subordinate to a Ministerial department, and the responsible minister should be able to overrule any decision they make.