The NY Times travel section has a regular feature wherein they pick a destination and then tell you what you could do there within a 36 hour period. Of course, they neglect to mention that you would need to have a late model hovercraft to actually complete their itinerary in the allotted time frame. Either that or you must be willing to zip through a museum as if there was a prize to be collected at the gift shop, Amazing Race-style or limit yourself to no more than 30 minutes for a full sit-down meal (good luck with that in Europe).
I, myself, am intimately familiar with the rushed visit. Oftentimes, through a confluence of unfortunate circumstances, I have extremely short stays in places that are worthy of much closer inspection. For a perfect example of this annoying phenomena, I only need to look back to the beginning of this month, when I spent a whopping 16 hours on the unspoiled island of Kauai.