Case in point: On the last day of our adventure at the COG Mega event in June, my bike, the Geobike Of Destiny, developed a flat tire. This was the second time this happened that trip, and I was out of spare parts. I had a whole week left on our trip, so I was looking at a week without a bike... 7 days is a long time for me to be without two wheels.
While on the way home we randomly decided to stop for a cache. The cache is in a garden shed in their backyard (with clear instructions where to go, so while it felt weird walking into a strangers back yard, I was also confident it was the right yard). As we walked up I noticed the cache owners were home, and we said heya.
We proceed to find the cache... one of the largest caches I have found to date. It was also one of most well stocked caches: stuffed animals, books, knick knacks, life jackets etc.
The lady CO (sorry, I forget your names - I suck that way), insisted we grab some items from the cache, even tho we didn't have swag to trade. One of the items was a bike tire repair kit. I immediately grabbed it, and told the CO how fortunate it was we dropped by, and explained the situation with my bike tire.

10 minutes later I had a patched front tire, an adjusted rear tire, a lesson in bike repair,and provided with parts to help do emergency patches in the field.
This was, by far, the more fortuitous impromptu cache stop I have ever made, and confirmation that geoachers the world over are some of the best folks in the world.
If you have the chance, I highly recommend their cache: Shedding the Past: A Whole New Cache on Scene (GC2HNAM). The 107 favourite points are well deserved, and I can speak with personal experience that the cache owners are fantastic people.