Never understood why the NHS and schools aren't free to offer "private" services alongside the state services. They could actually make "profit" themselves which they could use to subsidise the "free" services to all.
Take hearing aids. On the NHS you get bog standard ones, that are fine for some people but pretty useless for some too! If you want better, you have to go private, and then some fat cat somewhere makes a few hundred pounds in profit for basically doing sod all. Why can't the NHS audiology dept "sell" those better hearing aids at a price between cost and private price, thus making a profit, albeit smaller, which would go into NHS coffers? What's worse is that you don't know the NHS ones are going to be pretty poor for you until you've gone through the NHS audiology consultations etc and issued with NHS hearing aids - if they're useless, that's NHS money wasted as they won't take them back. Then you go private, and you have another hearing test, consultation, etc., and get a better quality hearing aid, which IS on "sale or return" so if it works, you pay, if it doesn't, you hand it back and they "sell" it to someone else. No waste!
Same with, say, private rooms in NHS hospitals. OK, over-riding factor has to be patient in greatest "need" for a private room, i.e. mental or clinical or safeguarding "need". But when there's no one in particular "need", rather than it being a random free for all as to who gets a private room, why not make a charge for it, so that the NHS gets some income, all on the proviso, that you have to vacate (and get a refund) if someone else has a greater "need" for the room.
After all, look at dentists and opticians - you get "basic" NHS treatment/services at modest cost (or free if you qualify due to benefits, age, etc), but you can "trade up" to a better colour/quality of filling or dental bridge, or better quality of spectacle lens/frame, etc., by paying more.
In education, we already have "extras" paid for privately, such as musical instrument tuition, extracurricula sports, additional languages, etc., where parents pay for the casual/part time teachers but often still use the school's facilities such as classrooms, gym, hall, etc. Some schools charge third parties for facilities rental, i.e. gyms and halls for local dance clubs or sports clubs, etc.
I just don't think we, as a country, have properly explored letting and encouraging public service bodies such as schools, hospitals, etc to actually act more like businesses and make better use of their facilities, staffing, etc., to offer and charge for "extras" which can bring in valuable revenue used to supplement and subsidise their "free" public services. If people are going to pay privately, then far better for them to pay, say, your school or the NHS directly, so the school/NHS makes the profit!