"money saved driving rather than a train for longer journeys"
But you lose the time. On the train you can do other things.
"being able to be there for your loved ones quickly in an emergency (especially for those of us who are spread out geographically and don't live in the same town as everyone we know)"
Once you're in a different region, it's often quicker to take the train. The train is the best option for me to get to my parents area'.
More convenient food shopping - I'll give you that. If you have a family, it's difficult on the bus, but the occasional taxi might still be cheaper than all the expense than the cost of running a car.
The only times I wish I had a car is for things like going to the tip or to Ikea, but these are once every 10 year things.
"being able to meet people wherever you like"
I live 20 minutes walk from the city centre and that's where I like to meet people. I can access many places in the countryside by bus or train. Yes, that makes me rely on that public transport, but I've mentioned above the hassle of travelling with a car, finding parking and having to leave after a certain amount of time because you had to choose how long you were staying in the car park in advance.
You just live your life differently without a car. One of my friends lives in the suburbs. I saw him in the afternoon and he was going out in the evening. I was surprised that he was going home to change when I would have just worn clothes that worked for both events rather than take the time to go all the way home. He said as he had a car the journey home and back wasn't much. Fair enough, but when he goes out it's either an expensive taxi or not drinking. I much prefer my life to that.