My first choice would be the grand old 45-70 Govt. After that, Well, I kinda get a litle less certain. All the other three will do a fine job in good hands. I admire all three.
The 375 Winchester is all but a "cult cartridge" revered in certain circles, ignored by most others. I happen to really like the 375, and I have a Marlin chambered for it that is far more accurate than it has any right to be. Factory ammunition is a problem for it. The handloader has no real problems currently. I wish a gunmaker would try it again, but that's not likely.
The 30-30 amd 35 Remington have both done good work in the woods for many years. Both have their advocates and detractors. I'm not one of them. I like both rounds. No doubt these two are the most widely used, most readily available, and most affordable choices on your list.
Why did I pick the 45-70 as my first choice? I guess it is like the answer to why buy a Harley Davidson motorcycle. If you have to ask, you just wouldn't understand.