Nothing really goes wrong consistently in a 3B. Virtually any 3B is good for 300km, even with some neglect. After that age sets in but there isn't one thing that consistently kills them.
... but there are some "random" failures that strike.
The weakest link is the precups, which do occasionally crack and fall out onto the cylinders. Cracks in precups are a sure thing; they are always cracked. Cracks bad enough to cause fracture are open for debate; an extreme overheating event or running a turbo on high boost are correlated with the droppage, but not always. I doubt you could even tell by looking if the cracks are serious or not, so its is standard practice to replace them any time the head is off.
Some of us have found that cam bearings can go bad and cause marginal oil pressure. Mains and rod bearings seemingly never do.
Oil pumps seem to be bulletproof, though they're so difficult to replace that there aren't many people here who have chimed in to say "I replaced my pump and it fixed X" or "Y."
Alternators have a vacuum pump on the back for powering the brake booster. Sometimes the pump splines can strip. No idea what causes that, but its not "common."
Primer pumps are notorious for leaking - that can mean they let air into the system and cause stalling, or it can mean they don't work very well. There is a Bosch replacement listed in the sticky that will last forever.
I think thats about it, really. 3B's are quite tough.
The rest of the draintrain has some things to look for...
Seals between the transmission and Tcase go bad, causing oil to move from one to the other. Fixed with a bypass hose, or a teardown to get at the internal seal.
Birfields are a weak link for sure if you have big tires and a heavy foot (maybe not such a big deal with a 3B as if you had a 350 swap).
Pinion and TCase output nuts loosen and or the shim packs wear down, causing looseness in the DS yokes. If not caught in time it can make lunchmeat out of the differential. Checking for radial play is all thats required, if any, retorque the nut (slightly controversial, this might result in high preload if your shim pack is dead................ but it works).