At GDS (GOV.UK etc) we’re working on a programme called GaaP: Government as a Platform. This aims to provide components to radically simplify the difficulty of building services focused on user needs for the rest of government.
Tom Loosemoore (now ex-GDS but hey) gave this talk at Code For America last year: https://youtube.com/watch?v=VjE_zj-7A7A . It’s obviously quite long (and in my opinion worth watching the lot) but the topic relevant part comes at ~28 minutes in. Here Tom demonstrates how pulling together the pieces of GaaP could potentially lead to registering s company in 3.5 minutes.
That a private sector company could do the same thing is great, but sometimes you need to refactor the root inefficiency rather than patch the symptom.