Between 2007 and 2011, I used the .243 a lot, exclusively with Sierra's 85-grain HPBT. Between deer, antelope, coyotes, and pigs, I think only one animal ever took a step after impact. That was a giant California boar with the thickest shield I've seen. The bullet penetrated the shield and blew up one lung. No clue how far he'd have gone, as my buddy headshot him a second after that.
Today, I'd rock the 95-grain Ballistic Tip or 95-grain TMK, but there a ton of good options for .243 and 6mm Creed class cartridges.
The 90 grain accubond has served me well, but its got pretty expensive. 85 or 100 grain Sierra Gamekings worked great before I found Accubonds and are what I’d load today for my 243.
I was a tester for the 87 grain Berger VLD hunter when it came out in 243, that bullet and the 95 grain version gave quick kills on whitetail for me. There wasn’t much if any blood trail because they didn’t exit, but I never had one go over 30 yards. I decided I’d rather have the performance of the ones I mentioned first using a light bullet like that, but the Berger’s never failed to kill quick.