Is there an ISO standard address format? I can't seem to find one, and I'd like to know for object- and database-design purposes.
(One interesting document that shows a bunch of formats is this: http://www.bitboost.com/ref/international-address-formats.html, but it's insane!)
No; each country defines its own standard.
There have been a number of questions about this in times past, including:
The second of those itself has references to a number of other SO questions.
You might want to check out the grandiosely named Universal Postal Union and its standards.