I'd say that the Partition and the Oryx are very well-known performers. Both tough bullets (one partitioned, the other is bonded). In .30-06, I'd expect them to perform very well. They're probably ideal for the heaviest game you might hunt with that cartridge. If you're shooting at a lighter critter, you'll probably get the fastest kills with a standard bullet in a medium weight.
The Sakos and Barnes' coppers I'm not super sold on, but that's just opinion and I have no personal experience with them. I might just be ignorant, but both are monometal bullets that will retain nearly 100% of their weight. They will penetrate very well, and being somewhat lighter for length than a C&C equivalent, will have somewhat higher high muzzle velocity. At the same time, from what I've seen, they will tend to produce extremely narrow wound channels: minimal expansion, zero fragmentation. Some reports I've read suggest that they can produce only calibre-sized wound channels.
Again, I have no personal experience with mono bullets, but my gut feeling is that they were born out of regulatory necessity, rather than terminal performance. I THINK you could probably maximize their performance by driving them to the highest impact velocities you can achieve (even by going light-for-calibre, knowing that the bullets will hold together).
In any situation where you might genuinely demand the kind of performance that you'd get from something like an A-Frame (trophy moose would be a good example, where you need to guarantee penetration), I think a mono in those situations would do quite well.