Many thanks to you all.
Maybe, I should re-iterate my question: I do already own a 7mm Wby. mag. so I do not want to go that way. I am looking for a nice little short cartridge (short barrel, short system) with not too much recoil but enough power for the bigger animals.
The reason I am considering the .338 is that I thought it might be more appropriate for the larger European game, i.e. moose or wild boar AND big antelope at shorter distances.
Realistically, I'll not reach out beyond 200 m. A European moose will probably not be heavier than 400 kg. Although the Swedes are using 6.5x55 on moose, I'd prefer a bit more power than the 7-08.
On the other hand, it should still be possible to hunt roe deer, which max at app. 30 kg, without destroying the animal/meet.
In short: I am looking for a comfortable, practical 1-rifle-battery-rifle
thanks again for your advice!