I think you'd be slightly foolish to claim the NHS is better than the French or German systems. Most analyses suggest the French system is the best in the world. The German system can be outstanding (if you go to a Hochshule - ie university hospital) but some of the small Krankenhausen are less impressive. Both are far better resourced than the NHS (so have more beds and shorter/negligible waiting times) and both, particularly the Germans, offer really good rehabilitation which is something the NHS falls down on.
In favour of the NHS, it's one of the most cost-effective systems in the developed world (though this depends on running close to 100% occupancy which makes pandemics difficult) and care is probably more consistent between hospitals than in other hospitals. Since we've started to centralise some specialist services that were previously offered everywhere (trauma, vascular surgery etc) standards have risen significantly. However, resources were constrained even before Covid, made worse by the shortage of nursing and residential home care and the lack of facilities to deal with elderly patients with complex needs (so they ended up stuck in hospitals, which are fundamentally unsuited to care for them).
In reality, increasing the NHS and social care budgets to overcome their many shortfalls would probably be less expensive overall than moving to a mixed private/public, insurance based system. The big problem with any private system of medicine is that the more procedures you undertake, the greater the income. This influences both doctors and management, can lead to inappropriate or excessive treatment and is very hard to police.