I live in Denmark and work in a Danish Institution so know a bit about Denmark's system!
Pretty much all kids go to Vuggestue from around 1 year old.
The ones who don't go to vuggestue go to dagpleje (which is basically a childminder type arrangement)
They go there until they are almost 3 and move into Børnehave.
They go to Børnehave from around 3 to around 6.
Børnehave is mostly learning through play and generally short activities in a morning.
There's beginning to be more pressure on Børnehave to make children School Ready, so they do do basic literacy and numeracy
They have language tests which are much less about reading and more about spoken language.
They start "pre-school" at their future after school club generally in the May before the August they start school. (Or at least it works like this in my municipality!)
This is a transition to school and they meet the teachers, get to know the pedagogs at the after school club and do some activities that get them used to sitting and listening.
They go into "Børnehave Klasse" nursery class at the age of 6 and they have a year of getting used to school, mainly learning about sitting still and getting used to the structures of school. Børnehave klasse is sometimes led by pedagogs instead of teachers. This is school though and the children definitely think of themselves as being at school, even though it is more "playful" I guess!
They start 1. Klasse at 7 and now they learn how to read and write more formally. They have been doing bits before but there's not pressure on correct letter formation, on writing left to right. They start doing more "proper" maths and other subjects too (Personally I think It's incredible that they start so late! I sometimes find it hard to pitch activities for the 5-8s I work with as they don't really know how to write or read, so it changes how you have to do things!)
The school year goes from Jan - Dec too kind of like Scotland.
I know they learn English from 2. Klasse so they are about 8 when they start English lessons.
I don't know much about the ins and outs of the system after this apart from school goes up to 9. Klasse and after that they can go to a more academic college or a vocational college.
School goes from 8-2 and from 2-5 most kids go to a Fritidshjem or Skole Fritids Ordning (an after school club basically). this is run by pedagogs and as well as looking after kids from school to pick up time, it's the place where there can be a focus on social learning. There is an afternoon snack offered (rye bread and veggies and fruit) sometimes they make food from scratch with the children. They can do woodwork, theatre, dance, sport all sorts. It's super cool! I work in a Fritidshjem and there is an amazing focus on vulnerable kids and helping them learn social skills. I think it's Great they get school and Fritidshjem, as some kids really struggle at school, but we don't often see that as we are so free flowing, so I think they get more chance of having success experiences. The pedagogs have 4 year degree, so know their stuff!
I think that uk schools need a Fritidshjem system, I genuinely think it could save lots of children from falling through the cracks!
Denmark has private schools, free schools, little schools and international schools... I don't know much about those though!
Hope it helps! I might ask about for more info if folk are interested? :)