A stalking rifle for me is a single shot, not necessarily a break action - but preferably.

I use two different rifles for stalking; a merkel kipplauf 7x65 Rimmed and a merkel 210E combination gun (BBF) 6.5x55/12-70. Both with detachable scopes.
The former is very lightweight, about 5.6 lbs without scope and depending on scope the total weight is about 6.6-7 lbs. This rifle is ideal for stalking everything from roe to moose and boar in dusk and dawn. I also use it to hunt frome hides.

The combination rifle is more suited for stalking during daylight with the opportunity to take birds and small game with the shotgun barrel. I've also used it several times for small game driven hunts, but traditionally it's a stalking rifle. This rifle is heavier, about 7.9 lbs with the scope (a small leupold 1-4 in claw mount), but its nice balanced and a joy to shoot.

Here's a picture of the kipplauf and the last buck, taken during a stalk in a dense forest in august