From a practical standpoint the 30-06 is superior in every way. It requires a standard action, not a more expensive, harder to find and longer action. The ballistic advantage of the 300 H&H is small and virtually nonexistent if Superformance loads are used in the 30-06.
The real advantage of the 30-06 is availability. If someone makes a standard length rifle, they almost certainly make it in 30-06. Rifles in 300 H&H are few indeed.
By the same token if someplace sells ammo they'll have 30-06. 300 H&H? Not likely. Midway sells 120 different 30-06 loads, 16 for 300 H&H.
Points in the 300 H&H's favor? It does feed smoothly, although nobody could claim that the 30-06 has any problem in that regard.
However, when all is said and done, I can't deny that the 300 H&H is cool.
