This may just be the Nyquil hangover talking, but I've an idea. UPS, FedEx, USPS, and DHL should offer in-transit upgrades for package shipping[1]. I'm having something shipped and I realize that I would like it to arrive sooner than it is scheduled for. With computerized systems, they know exactly where that package is in their shipping system...it seems simple in theory to pluck it from its current route and get it going faster. The upgrade would probably come at premium price and not be a true upgrade in some cases[2], but it would be a useful (and potentially lucrative) feature.
[1] It's possible that this is already possible. In the grand tradition of weblogs, no real research has been done.
[2] If you're two days into waiting for a 5-7 day ground shipment from UPS and want it the next day, it may take a bit to get it from a semi in the middle of Montana onto a plane to Miami, i.e. not truly next-day.