Accuracy out of the box goes to the remington 597.
Headaches out of the box also goes to remington, though they do make metal magazines now that are supposed to be more reliable- anything that feeds more than 3-4 shots in a row without a jam is better than one of the earlier 597s that I bought.

Most versatility- 10/22

Best rifle?
Buy a 10/22 and replace all of the Ruger parts with aftermarket parts

For the cost of upgrading the 10/22 from a plinkig rifle to a serious shooter, you might as well buy the semiauto made by TC.