I have tried a lot of different bullets in the .243 and as has been mentioned, it's going to be a crap shoot as far as fur friendly. One day they look good, the next they blow up. Personally, I stay away from the V-max line...too fragmentable and will blow up on entry and exit. I haven't tried the 87g V-max yet though. That one might hold together a bit better on entry.
I just read somewhere that the 80g bergers were holding together pretty well. Maybe too well...some runners.
For a descent factory load, look at the Remington 80g Power-Lokt line. I had pretty good luck with those in that they were both pretty accurate, and didn't do too much fur damage.
Reloading, I just switched over to the 75g Hornady FBHP and so far, so good. Shot my first one with a load of 39.9 of IMR-4064 with a full frontal. DRT and no exit...