Sounds like there are lots of opportunities...for startups, to improve these areas.
Bureaucracies though are a completely different beast. Better value? Happier customers? They care not a bit. You need different levers to (sloooowly) move them.
For examples, I would look at automating standard government functions (e.g., car registrations, toll collections, etc.). Putting those online leaves some clerks unemployed and is thus often resisted by default, so someone found a working path for each of those
As an example, all the online banking start ups belong ( or were created as subsidiaries of) big banks. All of them.