Durable is an understatement.
They will usually tolerate being run dry on fluid at least once (to the point that the vehicle won't move anymore) without getting ruined.
Current history of the one in my DD:
Bought preinstalled in the jeep. Approx 200k miles. To the best of my knowledge, no maintenance performed.
Drove for a few months, then the head gasket blew between cyls 3 and 4, resulting in a very rough running engine.
Continued to drive, but with foot on floor because it wouldn't go fast enough otherwise. Transmission exposed to severe torsional vibrations for ~10-15k miles because of this.
Partway through that period, got it stuck in the woods when a stump hidden under some underbrush snagged my front crossmember. While facing downhill on a slick muddy hill. I was pissed off and late somewhere, so I stuck it in 4lo, then neutral dropped it from 5000rpm repeatedly into first, reverse, first, reverse, etc to walk myself off the stump. By the time I was unstuck the temperature gauge was well into the red zone and I could smell transmission fluid cooking.
Continued to drive it. Put a new engine in, continued to drive with a lead foot. Once the horrible sounding engine was no longer in the jeep I could hear other drivetrain sounds again and noted a strange rhythmic rasping noise from the bellhousing, but didn't care enough to do anything about it. After a year and a half or so the transmission started slamming into gear after hard braking and slipping badly into 2nd gear for the first few minutes while cold, I assumed it was on its last legs and started collecting parts for a 5 speed swap. Then realized it might be low on fluid... added a couple quarts and it went back to working fine again. That was in November or so, I've put another 10k miles on it since then.
I've heard tales of people bursting a line in the woods and filling the transmission with stream water instead of ATF to get themselves home... then draining it back out and running ATF again with no signs of damage.
It's a japanese transmission, made by aisin warner. They are also used behind the 2JZ-GTE in the Supra (supposedly people have made them survive up to 1000hp in those), the 22RE, 3VZE, and 5VZFE 4 and 6 cylinder engines in Toyota pickups, and I know for a fact it's the same transmission that's behind the 4.7L V8 in my uncle's Tundra.
Regardless of country of origin, the AW4 is right up there with the TF727, TH350 series, and maybe even the powerglide in terms of reliability. And they're common as dirt and just as cheap, too, so there's no real reason to go to anything else even if you manage to blow them up if you like autos, it's easier to keep putting damn near free bolt-in units in every few years than it is to change everything to upgrade to another type of transmission.
Anything else you need to know will probably be in this thread:
http://www.naxja.org/forum/showthread.php?t=1053970
I've nuked two, but one was already lurching and slipping before I got my hands on it (I have no idea what they did to it) and the other required incredible abuse, including being run out of fluid at highway speed once and at lower speeds several other times, before it failed, and still gave a lot of advance warning that it wasn't happy with me before dying. The only reason I'm still collecting parts for a 5 speed swap is because I prefer a standard transmission if I have a choice.
Oh yeah, that transmission fluid I smelled cooking? It's still in there, I never bothered to change it. Also forgot to mention I've towed upwards of 3000lbs several times with that jeep in recent months, always in overdrive even though you're not supposed to. At this point I just kinda want to see what I have to do to this transmission before it'll actually die.
edit: oh yeah, it's in my daily driver and still sees full throttle redline every day... without any slipping, except when the cooler lines leak enough fluid out (again) that it starts slipping on shifts once in a while. Then I feed it another quart or so and it is happy again.