7.62x39 has a fairly limited commercially/surplus loaded bullet selection. It has relatively low velocity and shorter/stubby bullets due to lower weights for caliber (generally 122-125 and 150-154 grain). Certainly there are others including nice bolt action rifles and even ARs, however by far the majority of guns chambered in the round here in the US are SKS or AK variants.
Flipping through most any ammunition website will show a bunch of foreign made steel cased rounds loaded with either FMJ, hollow point, or soft point bullets. A lot of anecdotal evidence and various tests have found the overwhelming majority of the hollow and soft pointed rounds have thick jackets which do not expand reliably at their standard velocities. Sometimes the soft points expand beautifully, other time the exposed lead tip flattens and the bullet get very deep straight line penetration with very little upset.
The hollow points usually mimic the FMJ in performance. Penetrate a short distance, yaw, flatten a bit, and continue penetration facing backwards. The bullets are usually too stout and slow to break up and fragment as we commonly see with high velocity FMJ from 223/556.
Of the steel cased foreign fodder, there is an exception. ̶M̶8̶3̶ 8M3 hollow point have shown good fragmentation. Tula has a loading claimed to be the same as Ulyanovsk originals and may be a reliable fragmentation round.
There are a bunch of good domestic manufactured rounds available for hunting, but most are expanding soft point rather than fragmenting.
If you venture into hand loading, there are fairly soft 30 caliber pistol bullets which would be likely to unpeel at 762x39 speed.
*Edit : 8M3 hollow points, my phone keeps trying to spell check me.