Don't Throw Out the Baby with the Bathwater
One problem with governments, NGOs, and businesses is what I'll call "tentaclisation". This is the distribution of work among multiple people in such a way that you can't just eliminate a bunch of jobs and still get the organisational output you want, even though that desired output could reasonably be produced by the fewer people.
One could treat the organisation like a greenfield computer program, define carefully the outputs and priorities you want, create the needed structure, hire the right number of people to run it, and figuratively burn its bloated predecessor to the ground. (And, damn, wouldn't we love to do that?!)
The problem with such a restart is the loss of data which needs continuity (tax records, house deeds, medical records, etc.)
An alternative would be simple budget-slashing. The problem with that is the upper management, which makes financial decisions for the org, would protect their own jobs, and fire the people who do the real (vs make-)work.
Rather than chainsaws, wood-chippers, and flame-throwers, you need a swarm of army ants which would carefully pick apart these bureaus and get rid of what's not needed, taking extreme care that the swarm of army ants does not become a bureaucracy unto itself.