Here's an idea that has no chance of being implemented! Ministeral appointments to be confirmed using a panel of 120 people selected using the existing jury selection systems. If a nomination is not confirmed the nominee is barred from any ministeral post for the rest of the session ,but there are two more attempts, then the PM becomes barred in turn and Parliament as a whole must propose a new PM to a similar panel. If the new PM is not confirmed it triggers a full election.
There are various refinements, but there is the core idea to be shot down.