My favourite big game rifles shoot sub inch at 100 meters for 3-shto groups, including the Stutzen Ruger .243 & Rem 700 in .22-250, Weatherby Vangard .243 and new Browning .300 Mag. which I bought for long rang elk.
The old 9.3x62 Mauser will shoot into 1 1/2"- so good enough.

Field rat rifles will run 3/8" off a bipod for 3 shots quite consistently.

My favourite 14 bore ML will run under 2" off the bags(or used to when I could see)at 100 meters, so it's OK. The .50/95 will shoot into 3"x3"(actually tighter than that) for 5 shots with the hunting load & that's good enough for iron sight hunting ranges.
The Marlin .45/70 is running just under 2" with 405RP's running 2,000fps with a 2X scope. Again, good enough.

I've only ever shot a big game animal past 100yards - once & I don't expect to begin that process any time soon, but just yesterday fired 4 shots (.300 Mag.) off a bipod at the 15" steel plates at our BlackWater range - yes - from a rest. 200, 300, 385 and 500 meters all centre hits, using this calculator's figures on MOA holdover. They worked. The load was a factory 180gr. Bonded sighted 1 1/2" high at 100 meters, giving a yard zero.

http://www.shooterscalculator.com/ballis...=+Create+Chart+