My suggestion would be for a O/U 16 and 7x65R for light game - then a .375 bolt gun - as-in a .375 Ruger chambering for 'heavy' work. While a lever gun will do the heavy game job, so will the bolt gun and teh bolt gun perhaps even better as it will fill all rifle roles depending on how it's loaded. .375's have a habit of putting all bullet weights quite close together. Many of them need no sight correction when changing bullet weights for different game. Mine is no different.

You should have a good .22 - an Anschutz would do quite nicely.

There down to 3 guns & includes a plinker.

Local friend here has a Merkle O/U, 16 bore and 7x65R that will make the first 3 touch at 100 meters. It has one of those huge Zeiss scopes with pointed telephone pole crosshairs, but he does shoot it VERY accurately (which I find quite amazing). The proper sized aiming point helps of course.

At 25 yards, the 16 bore tube puts 3 Brenneke's into a 2" group (C to C), only 2" low and centered - easily mastered for a close 'coup-d-grass'.