The "sloppiest" bolt-action rifles I've ever handled were military Mausers. When the bolt is open all the way, you can wiggle it up and down at least 1/4" at the back end. But they're made this way on purpose, so they will work when filthy and full of sand! The best I've seen for military rifles were thedouble-heat-treated 1903 Springfields made after WWI.

By far the smoothest commercial, production-linebolt riflesever made were the Mannlicher Schoenauers made in Austria with diamond-dust honed actions!