I've always thought that having more "clinics" would be a good start, i.e. like they have in several Med countries, basically "walk in" centres on street corners which deal with all the basic/simple stuff, like prescribing basic meds/antibiotics, basic wound dressing, minor x-rays, blood tests, etc. That would remove a massive burden from GP surgeries and A&E where you have highly experienced & highly qualified senior nurses/doctors (and expensive), doing pretty minor and tedious low skilled work and give them the time to concentrate on the more serious/complicated work that they've spent several years to train for.
We also need more NHS departments being "self contained", a kind of "one stop shop" rather than having several departments involved for simple things. Like when I first needed hearing aids - it was multiple appointments with different people across three different buildings (in fact 3 different towns), before I finally walked out with hearing aids - taking a total of 6 months between my first GP appointment to get the ball rolling and finally getting them!
When my OH needed them, he went to Specsavers - in and out, consultation, hearing test, issue of hearing aids, all within an hour in a single appointment. That HAS to be cheaper and less resources used than the disjointed NHS system!