When specifying today's date with ISO format (20011002, see date formats) or American "short format" (10022001), today's date is actually a palindrome.

This is happening for the first time since December 31, 1321 (13211231/12311321). The next time is January 2, 2010 (20100102/01022010).*

(Yes, I have too much time on my hands...)

*) Disclaimer: I figured these ones out quite quickly, and there may be others I haven't thought of. Please /msg me if you find I'm wrong.