They are on the UK Drug Tariff. But there is currently no UK-based supplier.
I'm not too sure where that leaves one insofar as who pays for them.
You could try asking your GP. Or you could try asking your pharmacist. (I have recently written to the Prescription Pricing Authority, and I await a reply.)
In the meantime, they don't cost much anyway. So I would recommend that you just go ahead and by some yourself, if you can possibly afford to do that.
Regarding accuracy, as I wrote in the thread I started last night (see 'Blood Glucose Monitoring'), they are pretty accurate for readings below around 8mmol/l. (Nb. The lower the reading, the more accurate I find them to be.)*
But they're not so accurate for anything above around 8mmol/l. So to make the best use of them, your blood-sugar needs to be quite well controlled.
Obviously, when I feel it's appropriate, I use meter-read sticks too. But since my blood-sugar is so well controlled, the visually read strips are spot on for me most of the time.
When I wrote about 'a waste of NHS resources', that was expressly in comparison to the visually read strips. Here's a quote of mine from the same posting: "If I were only using meter-read sticks, then such obsessive testing would be overly expensive."
* With a low reading, you get a result quickly too: around 45 seconds in total. (You have to leave the blood on for 30 seconds.)