I strive to get all of my hunting guns to do sub MOA for 3 shots, and have a few that will do better with 5. I have an encore 22-250 that will do sub 3/4 MOA for 5 shots with Rem UMC 45gr HP ammo, which is really nice for $9 a box. My Bushy will shoot 52gr MHP black hills ammo into sub MOA 5 shot groups, a Tikka T3 in 338 win mag that will do sub Moa with reloaded 225gr TSX, and a Browning Eurobolt w/boss that will do sub Moa 5 shot groups with federal premium 100 gr SBT. I don't shoot a lot of factory loads in anything bigger than 22-250, 223 and 22-250 are so cheap I don't often bother reloading for them. I've gone thru a lot of guns and a lot of tinkering to get the ones I have now, but they are out there. One thing I find is that a lot of people don't but good enough glass on thier rifles, you can't expect great accuracy with mediocre optics. Most times really accurate rifles are more expensive and usually need a little tinkering to get the best out of them. For practicle accuracy anthing that will go 1.5-2" at 100 yards will do fine for a hunting gun. My dads one hunting buddy had a Remington 7400 in 30/06 that was lucky to put 5 shots into 5-6" at 100 yards but he killed enough deer and other big game with it to fill a dump truck.
Tikka T3 338
Encore 22-250
Bushmaster