I would reccomend the .375H&H or .458 WM if you plan on general hunting with the rifle or just range time. They are large enough to do about anything you will ever need. They are also relatively inexpensive to shoot compared to other big bores. I have a .375 H&H on a 1917 action and I love it. It and the .458 can be loaded for deer and hog sized game with light loads up to the biggest Elk, Buff, Elephant with heavy mag loads. You could also take a look at the 9.3x62, it's starting to gain some popularity in the states. If you want an out of the box rifle under $1k look to CZ, they chamber in alot of the big stuff. For more money they also make rifles in the Rigby rounds.
My 1917