I either own or have owned all in your list
I would say the 375 id the best all around rifle of the bunch.

I LOVE my 404 and my 416 too, but if I had to own just one, it would be the 375, no question.
The 404 and the 416 are "better" at 30 yds and closer on a charging animal. But they won't keep up at 150 yds and farther out. they kick harder. They don't buck the wind as well.
One of the longest shots I ever made in my life was on a moose with my 375. It does very well "way out there"
I have also hammered a few critters at 25 yds and closer with it, and it hit very hard. harder then you'd think
It beat my 338 on every count, including accuracy.
So.........
My openion?
375 H&H
You can't go wrong with one.