Believe me--unless there's something really, really wrong with your receiver, you won't get shocked. I actually have some similar equipment of the same vintage which I use every day, connected to other equipment, and have never gotten a shock. As Nigel points out, it's double-insulated and designed to be ungrounded.
Perhaps you're thinking of the Bad Old Days when we had such abominations as line-operated 5-tube radio receivers where one side of the chassis was connected directly to one side of the power line (ouch!). It is possible for you to get a shock, but the chances are slim to none, and Slim just left town.
If you're really concerned about getting zapped by this unit, set it up with another piece of equipment, plug both in, take your multimeter and measure between the two chassis (bare metal on back) of the units, using a sensitive AC volts range. My guess is you're going to see pretty close to zero. (Just to be sure, reverse one of the power plugs and repeat the test.)