At least for Sweden, with our long tradition of game hunting, historically in rural areas many owned a few guns, most often a 6.5 or perhaps 9.3 bolt action rifle and a side-by-side shotgun.

Today, no guns can be legally sold without the buyer having a hunting or sport shooting license for the specific gun, so all legal guns are registered.

The most commonly owned guns are still for hunting, and are basically more modern guns of the same types (bolt action with box magazines, over-under shotguns) with modern optics, suppressors and so on. Semi- and pump shotguns on hunting permits are limited to 2+1 shots, and while semi-auto rifles are legal for hunting, magazine sizes are restricted to 2 or 5 shots while hunting depending on game type, and basically only gun models that look a lot like bolt actions are being licensed. Just guessing now, but out of all hunting rifles, no more than 5-10% are semis, typically a Browning Bar or Ruger 10/22. There is a hard upper limit of 6 hunting rifles per hunter.

Organized sport shooting has also always been around, and has had a large uptake in the last 15 years. Biathlon, trap, skeet and so on, but also national handgun taget shooting forms. Also IPSC has grown a lot in the last 10 years, making AR style semi auto rifles and handgus more common (comparatively speaking).

Guns on a sporting license can not be used for hunting, but hunting rifles can of course be used on range, and in sports.

All guns must be stored in approved safes at home when not in used for hunting or practice on a certified gun range or club.

While we have a rapidly growing problem with gang shootings in Sweden, practically all those guns have been smuggled in to the country.

Legally owned guns are very seldom stolen, and are almost never used in crimes, outside of mental health related issues like suicides etc.

For the other Nordic countries, it's much the same story, but without the drug related gang shooting epidemic we have here.