I have a Smith Corona 1903A3 with a 2 groove 1943 Remington barrel that will shoot 1 to 1.5" at 100 yards with my handloads. This is with iron sights. Yes, I know, this is ~1.5 MOA but I've got the target to prove it.
Now the interesting thing is it appears to be an ex-drill rifle in that it has some weld marks around the magazine cut-off.
I was amazed at how accurate it is and noted that the rifle was a little heavier and more dampened feeling than my others. So I took the stock off and noticed it was glass bedded. I don't care as I paid a decent price and got a great shooting rifle out of the deal.