I've taken quite a few Axis deer with the .223, and a fair pile of sheep, goats, and pigs as well.
64gr psp, 70gr speers, 60gr vmax, and 68gr bthps have all worked well.
So have the cheap American eagle 52gr hollow points.
You have to be 100% willing to pass on shots, be a decent shot, and MAY have to track a wounded animal a ways.
Honestly I've had less issues with light fast .224 bullets, than i have with heavy slow 6mm bullets. still tho you have to understand and abide by the limitations the caliber imposes.