To be specific, I'd have to give it a lot more thought to craft my reply and it would inevitably be a long post that is too boring to read.
So I will answer more generally, but with specific examples. I am passionately of the belief that competition is the key to continual improvement. Whether that "improvement" means lower cost, increased output, better quality, improved features - whatever - that can vary. Sometimes it's all of the above, but competition drives organizations to be "better", or else they lose out to their competitors.
How this manifests itself is people, and organizations, working harder. Now of course we are talking generalizations here, and there are millions of people in the public sector who work incredibly hard. But as a general rule, there are behaviours I see in the private sector that I do not see in the public sector. I see Tesco being open 7 dayas a week and in some cases, 24 hours, as just one example. Is it more cost effective for them to shut? Yes it is. Is it better for the customer for them to stay open? Yes it is. Would it be convenient if you to contact your local council about a failed bin collection, when you got home from work at 19:30? Yes, it might be. Are they open? No, they have fucked off home, because it doesn't matter to them whether you have great service or not. They don't really care. No "sale" is lost, no-one gets fired, mediocre is just fine.
As a rule, I don't see the drive for improvement in the public sector. (Note, as a rule) I don't see people working until 02:00 to get an important document finished, like sales reps in my industry sometimes may have to do to get a proposal out. Instead I see a lot of fat, dumb and happy. Content with the status quo, happy to be closed on Wednesday afternoons, happy to deliver a poor service.
Clearly, privatization where there is no competition does not solve this. We see this with the trains, where the train companies have the same sloppy attitude. Trains running 10 minutes late is perfectly fine, because the customer can do fuck all about it.
So I'd like the private sector to run everything (within limits - I don't want them running the police force, for example) where we can introduce competition, to improve quality, improve service and do so more cost effectively. I don't see those objectives being achieved very often in the public sector.
Now, of course the lefties on here who have their opposed doctrines that the state should run everything from trains to manufacturing of tea bags, will disagree. I am fine with them being mistake in their beliefs.