For an example of the top of my head, take tax returns. In the UK the vast majority of people don't need to file one—your employer deducts the right amount each month from your salary and off you go. Moving to America I found I had to spend at least half a dozen hours trying to figure out what I had to do, eventually giving up and paying for a service to do it for me and am still unsure I filed correctly.

For another example, take getting a driver's license. In the UK you fill in a form online, they extract any other relevant details from your passport records and put in your credit card details and they send you a license within the week. It's a 15 minute process. In America I got to finding out I had to go to the DMV (and that I should go to the DMV in another city because it's somehow superior) and promptly gave up.

I know you said aside from healthcare, but even if you had the hypothetical best insurance available, with no co-pay or deductible, just keeping track of all of the arcane and opaque numbers, policies and restrictions is a huge administrative burden.

Now to be clear, I understand why some of these systems are the way they are and, in some cases, can see the necessity, but the fact remains that in almost any other developed nation there simply wouldn't be an equivalent administrative burden to just existing.