All of the bolt actions used in the Great War and later can potentially be very accurate.
Only a very few of them will shoot as well as a Stevens 200 (or other low end modern rifle) does out of the box, with out tweaking them.
The Mausers, including the 1917, and the Springfield will have a better average accuracy. Well maybe the K-31 should be in that group as well.
AFAIK the Springfield is the most accurate after it has been tuned, using match ammo.
The Enfields will average paper plate accuracy at 100yds. A fair percentage will get to 2moa. If they are set up right and have a good barrel they can get sub-moa.