My favorite all around caliber for big game is a 30-06 I use it for hunting Elk, Moose, Goat Sheep and Deer.I would not hesitate to use this caliber on any of the game mentioned above.It is all I use.
My second favarite would be the .338 Win mag.
This is a caliber I bought 10yrs ago and have not used.
But I'm glad I own it!!!
It is Browning A-bolt with a Macmillon synthetic stock,and comes with the Boss muzzle break.Mounted is a Leupold VX III scope 1.5-6X power.
Thirdly I would say the 375H&H mag perfect for the Northern B.C. and Alaskan moose hunts where Grizzlies are frequent and the Moose are big.
(eg.>1100lbs.)
I do not own this caliber but I highly respect it and it would be my caliber of choice when hunting in that State.