A couple of buds and my self bought CZ 452 Americans. They are super accurate I will put mine up against any high dollar gun.
I have a CZ 453 and a Savage MkIIBTV. The Savage is more accurate but not by much. But rifles from companies like Sako, Cooper, Kimber, Anschutz, and all the classic bench rest rifles will walk off and leave a CZ. You can get great groups from a CZ or a Savage but consistency is the name of the game. That's why you almost always see Anschutz rifles in Olympic type shooting events. It has to be a good model (they make some that aren't much better than a CZ but even those are better) like a 54 series. Those rifles are much more accurate than a CZ. Sako makes incredibly accurate rifles too. Trust me I've shot against them and lost many times with my Savage and that Savage shoots really well actually. I have won my share of contests with the Savage. In fact I won about 12 out of the last 15 contests I shot in but there were no really great rifles in those contests. When my friend shows up with his Sako I know I might as well not even bother to shoot.
Those rifles certainly aren't cheap though. Still if you want the very best I'd get either a Sako or an Anschutz. A really good one will be at least $1500 and the best will run $3000 or more.
BTW that's off the shelf rifles I'm talking about. The bench rest rifles people use will shoot far better but they aren't made for plinking or hunting or carrying around for any reason. They will weigh 15 lbs. or more and they will be setup to be shot from a rest. Those are the absolute best shooters but they are limited in what they can do. Still names like Remington (with the 40X), Turbo, Hall, etc. are what the bench rest crowd starts with to build a rifle. But that will be just the action. The trigger, barrel, stock, sights, etc. will all be aftermarket parts. And it takes a truly gifted gunsmith to build a rifle of that type. It's not just a matter of slapping the parts together. For one thing everything has to be aligned perfectly. The bolt has to be exactly square with the barrel and the firing pin has to strike at just the right time and at just the right spot, etc.. There are many things that go into building a true world class rifle. Most of the top shooters try to get a rifle built by one person actually. I nearly bought one built by him myself at one time. But by the time I got the money the rifle was gone. Oh well. I bought another great rifle instead that is probably more valuable to me anyway. Putting tiny holes in paper is fun but it has a very limited use in the real world. I bought a medium-long range centerfire rifle that will make tiny groups at 500 yards instead of buying that BR rifle. I'm sure the coyotes didn't like how that worked out. And I just moved into a target rich environment too.
It should be pointed out that getting the most out of a rifle has a lot to do with that nut behind the stock. It takes a lot of boxes of ammo to learn how to get the most from your weapon. And the law of diminishing returns certainly comes into play. You can buy a .3", 50 yard group size rifle for maybe $350 (Savage) or you can buy a .15" rifle at the same distance for $1500. That's a lot more money for a little more accuracy. And until you learn to shoot your rifle at near it's limit you won't even notice the difference.