Just wanted to address the few posts with mumbo jumbo bull**** in this thread.
First off, ESD applies mostly to large volume handling of chips, not ports. 8520 are sturdy IO DIL chips from the 80s era which do have static protection.
Secondly, ESD damage is a statistic (and a slight one at that), not an inevitable result. If you don't pet the cat and rub your wool socks on the synthetic carpeting of your floor while diddling your Amiga ports, you're fine.
That said, the old habit we all had when we were teens, to put the Amiga on the carpeting of the living room floor and inserting joysticks with grounded metal case parts (hello Tac-II ?) will - sooner rather than later - zap one 8520 chip. But I think we don't do that much nowadays, am I right?
If you zap your Amiga (you will know because you will feel the tiny jolt), replace the 8520 and you'll be up and running again.
And finally, if you insert something into the Amiga holding it by the plastic, you can't damage your Amiga. If you hold it by the metal (hello Tac-II again), just touch the metal shield by the ports. Whether your Amiga is on or off has NOTHING to do with static damage. (This means that if you get damage, it's because you've inserted a live peripheral such as monitor or joystick with autofire or LED in a very mentally handicapped way and nothing else. Turn the Amiga off before inserting such and you'll be fine.)
Any other damage you experience is due to bad ground or no ground (2 pin mains plug somewhere in the chain), or faulty peripherals or cables going bad-> shorting inside.
Don't blame some ESD ghost before you've checked your equipment. The best way to zap your Amiga is connecting voltages and bad grounds to it such as unchecked sound equipment, serial null cables for PC off ebay with more than 3 wires in them, some old laser printer or some SCART cable with RGB widescreen support.
Summary: unless you keep your Amiga on a synthetic-carpet floor, you can completely let go of your unbased ESD fears.