I remember the panic about the millennium bug but it was obvious it would be fixed because it had to be and I don't recall seeing any issues.
This may be of interest:
en.wikipedia.org
Interesting, as I didn't know about Y2038, and also that the article says there isn't a universal solution for this. I still use Office '97 on one of my computers, and so far, Excel has been calculating dates correctly. As Excel '97 is now so old, it will presumably succumb to the Y2038 problem. We better get updating!
Loving the videos in the replies in this thread, but thought I'd point out the Winamp video because I still use Winamp. Daily! For the uninitiated, you had Windows Media Player, but for the rest of us in 1999, it was Winamp vs Sonique. I still have a load of MP3s, MIDIs, WAVs plus some obscure files such as OGG, SGT and APE files which still all play fine on Winamp.
At the time we were promised planes falling out of the sky, nuclear weapons launching by themselves, atomic reactor going critical. In the end it was a bit of a damp Squibb. Very disappointing.
With all the AI scaremongering in the press over the past 18 months or so, planes dropping out and nukes going off could still happen any day now. The Technological Singularity. Skynet!
Pity, it came a year before the millennium.
Technically you're right because there wasn't a year 0. So the 1st Millennium was AD1-1000, 2nd was AD1001-2000, then the 3rd began in AD2001. The Proles (including me) simply thought that 2000 was a prettier number and so we got played into this by the press.