If you want accuracy, get a bolt gun. Someone else already suggested a CZ-452. I have one, and they are very accurate. At the same time, I have a Henry H001T lever action, and after replacing the sights, it's just as accurate as the CZ. I also have a S&W M&P15-22 AR-style rifle, and with the factory iron sights and trigger, it's almost as accurate as the other two rifles. It might be just as accurate, but I haven't had a scope on it yet because I won't have the right kind of rings until UPS gets here today.
None of the rifles I've described have given me a single issue (and I used the first two for silhouette competition). I can't speak to the other rifles mentioned, but I think it comes down to what you like the best and what works for you.
Things to consider are the action (semi-auto, bolt, or lever), the type of magazine (tube or standard box type), and what kind of sights are on it. Once you think you've picked the gun you want, check the net for reliability issues and accuracy enhancement tips (trigger adjustments, sights, etc).
I think the most configurable .22 out there is the Ruger 10-22. You can literally make it anything you want it to be.
Finally, use quality ammo if you're after accuracy. And remember that before sighting in, fire at least 20 rounds of a given brand/type of ammo. It takes that long to season the barrel to the ammo. Buy 100 rounds of four our five brands and types of ammo (you can start with locally available wal-mart stuff to keep the prices low, but don't expect really good results with bulk ammo), and take your cleaning kit to the range with you. It's going to take you a few hours to find the ammo the gun likes to shoot. Clean your bore and chamber between ammo brands so as not to dilute the results. Take copious notes.
In my experience, Federal Auto Match is decent, CCI Mini-Mags work well (and both are available at Wal-mart), and so does Wolf and Ely (probably have to buy those online).
I lobve getting a new rifle because I get to shoot a lot more often to find ammo it likes.
