The third I can think of was where a leak from a box for a light mounted outside (through an attic wall) was causing a fault in the old BX - the resistance was heating up the armor;
Just a minor nitpick, but if a ground fault caused a fire with pre-1959 BX, it was most likely inductive reactance more than resistance (although resistance probably did contribute). The old BX tended to conduct the bulk of fault current in the spiral path of the armor, which caused a choke effect. The post-1959 stuff has that little 14 AWG aluminum strip in it, obviously too small to properly conduct fault current on its own, but it makes continous contact with the armor, reducing the choke effect. The old BX often imposed a high impedance on fault current, and this resulted in numerous fires, since a ground fault that should otherwise trip a breaker or blow a fuse would not do so.
This is the reason why runs of flexible metallic conduit exceeding six feet must have a separate EGC, as per 250.118(6)c.(2002 NEC).
In my area, we don't use Type AC cable. We are required to have a separate copper EGC for all wiring methods. Therefore, you see a lot of MC cable around here.