Unfortunately, it's not going to be quite that simple. It depends on what you're hunting and what bullet weight is most appropriate for that species, it depends on what you have available, and it probably depends to some degree on what your firearm "likes" in terms of accuracy.
From a very general perspective, most standard factory-loaded ammunition provides adequate, all-around performance for hunting. There are alternatives available now, often in "premium" lines of ammunition that offer various bonded or monolithic projectiles which some will argue tends to perform better in certain rifles. Some will argue that the performance doesn't justify the additional expense. Most of it boils down to personal preference in the end.