Electronics made back in the days of 2 wire AC plugs were interestingly scary. If you look at old radios, the metal chassis is generally connected to one of the AC wires, making "ground", and the other leg feeds the rectifier (the AA5 setup). This means that, when plugged in correctly into a correctly wired outlet, the chassis is tied to neutral and everybody is happy. If, on the other hand, you have an outlet improperly wired, or the radio was plugged in backwards, then AC line voltage is present on the chassis.
To cope with this, the metal chassis were buried in wood and bakelite enclosures, plastic knobs were used, etc. to protect the user. For those who refurbish radios, simply adding a power transformer takes care of this problem.
In our gear, we use the chassis plate as a ground for shields, as well as a safety ground. If it's left floating, well, those features don't work as well. Luckily, in structures of this age, you'll often find a radiator in each room, and fashioning up a ground to a radiator is often an acceptable substitute.
-PB