I have been using a Browning .243 A-bolt Hunter for the past 3 years now and I haven't lost a Deer yet!Like most stated "Shot Placement" has a lot to do with it and it doesn't have near the recoil as say a .308 or 30-06 Rifle.I use the Hornady "Custom" 100 grain bullets ($25.00 a box) with a matte black Leupold 3 X 9 X 40mm Rifleman scope with Millet scope rings.The 8-Point Buck I shot this past season only ran about 35 yards and dropped over backwards...but I did shoot it broadside through the heart!
It is also great for target practicing and I have shot a few coyotes with it also.My Daughter shot a nice Doe last year with her Rossi single shot .243 and the Remington shells only cost about $14.00 a box.
I have been shooting a Remington model 742 automatic 30-06 for the past 25 + years and I can't brag enough about my Browning .243,it is the plain wood stock but it is one beautiful looking Rifle!