I've owned, shot, hunted and harvested my fair share of big game in western Canada with magnum and non-magnum cartridges over the years.
In magnum calibers I have owned and used the 270 WSM, 270 Wby, 7MM Rem Mag, 300 Win Mag and 338 Win Mag cartridges quite a bit. The one I really did not care for was the 300 Win Mag. Funny, since I like the custom lh 300 WSM I now own. I still own and use a 7MM STW, and have taken more game with it than any other rifle, from whitetail at 15 yrds to 7x7 bull elk at 475 yards. And as mentioned before, even though "Magnum" is not in its name, I also have a 416 Taylor that is fun to shoot (350 gr TSX at 2400 fps). (To the poster on page 2; yes, I have 2, 250 Savages and a 416 Taylor! A lot of fun at both ends of the big game spectrum! LOL). My other magnum is a Marlin in 41 Rem Mag; not quite a long range affair! LOL
Of all the magnums that I have owned, shot or used, my favourites are the 7 Rem Mag and the 338 Win Mag. For North America, I believe that these two are the best of the magnums out there. Yes, there are bigger and faster; These two do what they are supposed to do very well, with manageable recoil. I know that many consider the 300 Win Mag to be a good compromise, and there isn't much that cannot be done with a good 180 gr bullet at 3000 fps, but I have found the 338 to be just a bit better for the bigger, tougher game. And if I did not live in grizzly country, or occasionally hunt bison, I could live quite happily with a 7MM Rem Mag. For the bigger critters, and adrenaline filled bull elk in the rut, the 338 Win Mag is just a better choice and is decidely more impactful.
Today most of my rifles are in non-magnum cartridges because I enjoy the hunt more than the kill. And shooting animals at over 400 yards is not necessarily using hunting skills to their utmost. Sure there are times when one must shoot a little farther in the mountains or on the prairies, but even after all these years, my average shot distance is still less than 150 yards. I also hunt a lot of thick timber and do not need the extra velocity to flatten out the bullet trajectories. My favourite cartridges are the 280 Rem, 6.5X55, and 358 Win. They have proven very effective at reasonable hunting ranges in which I have harvested the majority of my game. I also now have a 338-06 and a 376 Steyr, instead of the 338 Win Mag and 375 H&H. Very similar performance with less recoil.