2e... I dunno. 2003 or so? It was about two years after 3e broke, and a guy I knew wanted to run a Ravenloft game. It was an alright game, and I had no problem playing it, but THAC0 confused me by then already. That being said, I want to run a 2e dark sun, with THAC0 and AC converted to the 3e style, and possibly using 4e's saves system. (or at the very least, 3e's saving throw system).
As for Basic. I don't know. I love Basic (we're talking BECMI, right?). It was definitley a one-shot, sometime around 2005 or 2006, but I can't remember the details, or if it was an entirely fictional event that didnt' actually happen but that I vaguely recall happening. But for a long time, I preferred BECMI to 2e... though I had kinda tinkered with the system a bit.