I have a Rem 581 with a Lilja barrel and thumbhole stock that shoots 3/10" groups at 50 yards with match ammo. It helps that the scope goes to 32x and the trigger is just under 16 oz. It's converted to single-shot at this point, but I have the materials to get it back to operate with a magazine.
It doesn't get much use these days, so I may sell it at some point.
If I can't be with the rifle I love, I love the rifle I'm with!!