I was suggesting the 8mm Rem Mag for a new barrel, replacing a .300 WM, in another thread.
It is a lot of rifle, to my thinking, better than a .338 Win Mag because of the range of bullet selection, from 123 to 240 grains. Realistically, 150 to 200 grains is the optimum range of flat shooting bullets, and the 195 to 200 grain bullets have some high BCs, if you can stand the recoil.
I have five 8x57IS rifles, one 8x57I ( mild rounds ), an 8x57JRS, and an 8x60S ( my second one ). The 8x60s is an original Type A Sporting Mauser from about 1920. It likes a 200 gr bullet at 2,500 to 2,600 fps, and only weighs 7 pounds loaded, with a steel buttplate, so that is as close as I get to an 8mm Rem Mag - and it is not bad recoil at all, because the stock just fits me so well.
Most 8mm Rem Mags come in heavier rifles. Go read what Craig Boddington says. He is a big fan of it. The Remington 700s in 8mm RM are on the light side, about 7.5 lbs to 7.75 lbs, just as the Kimber 84 and Browning A-Bolt are the most common rifles for the .325 WSM, and they are very light, making the recoil a bit brisk.