Re: which caliber for all around use?
.308, hands down.
Factory or especially handloaded, VERY diverse and adaptable. HUGE selection of weapons to choose from , Single, Lever, Bolt and Auto.
Moose or bear with 7.62 x 39?! Not me!
Sure, 'ol Karamojo Bell took elephants with a 7 x 57, but he was crazy! (and damn good).
I'd do it with a properly loaded .308 any day.
Long range, short range, armor piercing, solids and frangible, from light to heavy, the list for different 'pills for your ills' is long and covers it all, AND readily available.
As is the list of manufacturers for every conceivable componant and aftermarket Gizmo and aid for the .308 and the weapons.
Straight up and to the point, "all around" means diversity, adaptability and availability, and the .308 (also because it's 7.62 NATO) is King.
You are what you do, when it counts.