I'm lucky that I get to travel for both business and pleasure. On multi-week trips, I take my BikeFriday Pocket Rocket (the yellow bike you see in the pictures with me). It folds into a suitcase, and there are no extra airline charges for shipping. I bought the bike in November 2003, and below are a few pictures from various trips.
from our Trip to Netherlands
I also have information about MS rides, including Waves to Wine
Pictures from my trip across Nevada in OATBRAN and a narrative version is here. This was done on my regular road bike, not the BikeFriday.