Well, you could have the trigger adjusted, or you could put in a whole new trigger, then have that adjusted.
other than that, if you really wanted to spend some $$$, which depending upon what you currently have and what you want to get out of it, you could put the whole thing in a new, composite stock, but good composite stocks are pretty expensive.
One thing that you could do to your rifle that is not too expensive is to glass bed the barrel with glass bedding kit. You can get a couple of different glass bedding kits from Brownells, the most popular one being Acraglas
http://www.brownells.com/aspx/NS/sto...le=ACRAGLAS%7e
Dad glass bedded the stocks/barrels on some of his rifles and it helps maintain accuracy in different heat and moisture conditions that can cause your stock to "move" a little, thereby decreasing your accuracy. For less than $20, it's the single most effective thing you can do to accurize a wood stocked rifle.
Another thing that you can do that will really accurize your rifle, but is considerably more expensive, is to re-barrel it with a custom, accurized barrel. Since it's been a long time since I have done any reading on the subject, I think that you can buy both pre-threaded and non-threaded barrels. The pre-threaded just needs to be installed, but the non-threaded barrel with an experienced gunsmith winds up being more accurate because everything is checked and matched to YOUR action, so it insures a higher level of accuracy. This is kind of a neat, albeit potentially expensive option because it takes a stock rifle and really turns it into an accurized, custom rifle. Tom Turner probably knows much more about this than I do.
There are tons of little things that you can do to accurize a rifle from doing everything from putting high end optics, to adjusting or installing a new trigger, to re-barreling, to having a custom fitted stock, etc.
For me, I would be more than satisfied with an out of the box Remington 700 with the black composite stock, with a nice Leupold Vari-X II or III, or Maybe a Burris Fullfield II, either of which I would want in 3x9x40. Out of the box, with a little practice and depending on just how good the rifle is (I think that Remington only gurantees 1 MOA accuracy for an out of the box rifle, but from what I've read, they are usually better than that at about .5 MOA accuracy) I could be shooting 1 to 1/2 inch groups at 100 yards, which isn't too bad in my opinion. (I say this because I once did just that with a brand new 700 in .223 with the aforementioned Burris 3x9, shooting one 5 shot group at about 1 inch, and another at a little over a half inch at a measured 100 yards from a bench rest position.)
Thanks for the topic TG! I love talking about guns and shooting. I just wish that Maryland was a little more gun friendly. At the moment, the only shooting I do is when I get back home to Nebraska.