A WORD REGARDING "ASSAULT" RIFLES:
jjwdb7,
As you may have gathered from the posts thus far, the term "Assault Rifle" isn't very popular around here. The problem with the terminology is simply that it leaves people believing that the sole purpose of a certain type of rifle is to wage a war, attack people, or engage in some other sort of armed conflict.
That purpose couldn't be further from the truth for most of the firearms that have been given this label. Simply put, they aren't being used to "assault" anything, and we don't want people who aren't familiar with firearms to associate semi-automatic (autoloading) guns with weapons of war. Most often these firearms are only used for lawful hunting, target shooting, competitive shooting, plinking, or home defense.
To take this issue a step further, similar looking military issued small arms are often built to be "selective fire" (fully automatic / burst). These types of firearms are quite different from the rifles that you or I are buying over-the-counter at the local sporting goods store.
In recent decades the term "Assault Rifle" has become very popular within the somewhat powerful anti-gun lobby, and it probably isn't wise to perpetuate such a misleading term among those of us who do engage in shooting-related activities. Simply put, using this terminology adds fuel to the argument that this lobby is trying to sell, by giving them an opportunity to identify these firearms as devices that were designed solely for the purpose of "assaulting" someone.
Common sense tells us that virtually any item can be used to assault another person, but we certainly don't want to give the general public the impression that our firearms are going to be used for such illicit purposes, or that these guns will allow us to dominate the neighborhood streets with machinegun fire (such an idea may sound ridiculous to you, but the anti-gun lobby has certainly tried to "sell" these fears in the past).
Anyway, more to the point of your question regarding semi-automatic .308 Win rifles:
I really like the Springfield Armory M1A style rifle. These were roughly modeled after the old M-14 rifles, and they are known for being very accurate. They look quite nice in a walnut stock configuration, and are plenty functional with the synthetic stocks. They aren't cheap, but they shoot great.
The AR-10 platform is also popular, though there isn't much to say about these (it is basically an AR-15 built to chamber the .308 Win).