You named 7 (6 in Scandinavia) I would add Japan, Canada, New Zeeland, Germany, ... actually it is the entire free world ! It is the approach you'll find in every stable, well-functioning democracy, the approach you'll find where poverty is the least common and it's outcomes the least severe. The approach you'll find where-ever government accountability is solid and enshrined into good laws that make abuses rare and difficult to cover up. 

The poorer countries cannot of course offer the same level of service, so they should start with the essential ones that the private sector provably cannot ever do as well or as cheaply as a government can. Healthcare, public parks, libraries and education. Then as the benefits from those investments produce revenue (all except the parks MAKE more money in taxes than they cost), it can be used to fund other services. Social grants. Pensions. 
If small government made countries prosper, why is no prosperous country with a small government ? Not one.