The only other big change is a political system built on coalitions. Apart from that, it’s mostly the same.
That is so obvious. How else would one do it?
For evening-care you're less likely to find such cheap care, even if you do the traditional thing and pay teenagers, but even so you wouldn't expect to pay more than 40/50 euros for a night out with your wife/husband.
Social stuff is more than the day-care though, just walking around the local area there are numerous small parks, and play-areas for children, often stocked with toys. Free transport on buses, metros, and trams for a parent with a child, etc, etc. None of it is revolutionary, but it all adds up to making parenthood feel pretty good here.
(Some things are, sadly, not perfect. For example when I take our child to the doctors for scheduled checkups the first question is usually "Where is his mother?", but minor niggles aside I think having a child here is much much nicer than it would have been in Scotland.)
I do enjoy reading about Sweden though, especially the child-facilities and social-care. Things are similar here in Finland, but there are differences. Both are worlds apart from what I grew up with in the UK though.