I would like to see missions mandated by public opinion, with loyalty penalties and possible civil war if enough of them are failed.

For instance your PM's tell you that their voters really want to see an improved road system. You get a message to build better roads, you don't and then your cabinet get voted out.

Or let's say you are neighbouring a country the public really hate. They could pester you to go to war, with cash incentives if you do (or a statue in your honor or something like that)

Basically I want the public to actual have an affect on the country, at least in a reppublic or constitutional monarchy.