I have actually never lived in the UK, so I wouldn't say I'm in a position to make fair comparisons. However, from what I have read on this forum I can definitely say something about childcare and nursery fees. Compared to UK nursery prices, Danish nurseries are a bargain. I believe parents pay around £350 a month for a child in fulltime care. I believe nursery prices for fulltime care in the UK are much, much higher, making it difficult for many parents to afford nursery fees. It's very rare for Danes to worry about whether they can afford nursery, I would say, where it seems to be a huge worry for many UK parents. Parental leave also seems better in Denmark than in the UK as parents get their full salary throughout their one year leave, which I think UK parents don't, necessarily. I also think it seems easier to access healthcare here than in the UK. For instance, I have a lung condition and see a lun specialist for it. There are very few of them in the entire country, but I have still managed to see a lung doctor at a short notice. I also felt unwell in another city so I went to a hospital where I was seen to almost immediately even though it wasn't an emergency situation.
Some things I think UK does better is definitely being more open, particularly to differences and diversity. It's true that Danes can be reluctant to change - whenever societal changes are made, there's usually always some kind of uproar and complaints. But at the same time, people end up just complying with decisions made. We don't have a very strong 'cancel culture' here, I would say.
In the UK you also seem much better at being open and welcoming of 'the unknown'. Danes can be suspicious and wary of foreigners, for instance, which makes it hard for them to be accepted. It's already difficult to be let into Danes' personal sphere, but even more so if you are a foreigner.