The Irish Fair Deal gets criticized for underfunding and lack of support for home-based care.
Japan and Germany have the Long Term Care Insurance Mandate that everyone over 40 pays. However, housing costs are less and they don't have the tuition fees burden that we do. Most of my contemporaries have primary-aged kids and they are struggling. I can't see that happening here.
Denmark does it through high income and VAT taxes, plus everyone pays for "hotel" expenses, such as basic accomodation and meals.
The Netherlands operates on subsidised basis, with the state paying some of the costs and the caree the rest, based on a sliding income scale. The aim is to keep the system affordable without draining everyone's savings.
The big problem isn't the money (although I'm skeptical that 30 billion will be enough - the NHS was underfunded from day one - and Japan and Germany have had to overhaul their system twice) - it's the infrastructure. All of the counties I mentioned above have home-first mandates, community centres, dementia villages and agressive reablement packages to stop people from being bed-bound in the first place. The cheapest thing you can do is keep people active.
It's going to need a massive culture change across the UK, including faster NHS discharges, more purpose-built places and people taking more responsibility for their health.