I downloaded the demo, and played a night elf a week or two after the game came out. Hooked instantly, I'd never played an MMO before, and was looking for a new game after years of playing Diablo II and Sim City 4 to death. Something about the furbolgs and the setting and the gameplay just grabbed me, hard - I don't think I need to explain it.
I don't remember what class, but probably a rogue or warrior, as I was coming from DII, where I loved and specialized in barbs and assassins. I pretty much never played a caster until I started a warlock later on.
I can't remember the exact dates, but very close to launch Blizzard stopped sending copies out, because the servers were too crowded and they were about to upgrade them - so there were a lot of complaints about finding it. I figured I'd wait a while...and I went to Target, and was looking at books, and glanced over at the software section - two WoW boxes! Grabbed one, went home - now it's ten years later. I know I started within a month of release, according to my payment history.
I was a little irked that I couldn't use my Night Elf from the demo account, but I jumped on, started a human rogue, and forgot all about it.