Examples are everywhere. In fact, almost every human interaction is an example. Here are a few off the top of my head:
Quality control rejected one program because it was indented 4 spaces instead of the standard 5, but accepted another, even though it had enough memory leaks to crash the server under certain conditions. The first was a detail; the second was an issue. It took me 2 days to get Q.C. to understand the difference.
A friend recently arrived for a dinner party an hour late and then complained to me that another spoke with her mouth full. As far as I was concerned, the first was an issue and the second was a detail. My friend thought otherwise about both.
Accounting recently spent 3 days implementing a new key policy for the private rest rooms (presumably to prevent theft) and then wrote off $50,000 of inventory because no one could find the proper paperwork. IMO, the former was a detail upon which much time was wasted and the latter was an issue that never actually got dealt with.
We spent the first hour of a recent meeting trying to determine naming conventions, but ran out of time before we decided if the customer’s credit limit should be split between 2 divisions. Again, wasting time on details and not dealing with real issues. (This is a great example. One of the best ways to lose your shirt is to not deal with credit/collection/accounts receivable issues.)