What are you hunting? What are the terrain characteristics? What is the typical range of a shot? What is the typical weight of the animal you're hunting?
Lots of questions here.
If you want a hunting rifle, you don't have to look any further than your own backyard.
Tikka and
Sako make some of the finest hunting rifles in the world.
I wouldn't use a 45-70 for a hunting weapon. I wouldn't use a lever-action either. Sure they work and lots of animals have been taken with them. But they aren't the best tool for the job. The 45-70's ballestics are the greatest and a good bolt-action will always be more accurate than a great lever-gun (and I own two of them, a Win M71 and a Win 94). Plus, I wouldn't think that finding .45-70 ammo in Finland would be that easy.
If you're talking about taking animals ranging from deer to elk, any cartridge from 7mm-08 to .338 Win Mag would work well. If you can put the bullet where you need to and use premium bullets, .270's, .280's, 7mm Remington Mag's, .308 Win's, .30-06's, and your 9.3x62 would work fine.
If you're wanting something bigger, any one of the .300 Mags (I use a .300 H&H), a .35 Whelan (hard to find factory ammo for these), .338 Win Mag or .340 Weatherby would also work like a charm.
Anyways, when anyone comes to be with hunting rifle questions, I send them here:
Accurate Reloading.com I have never seen anyone not be able to find someone who can answer their questions. There' probably even some Finnish hunters (or people who have hunted there) on the board.