I'm weird...I started with 2nd Ed, but have since played either 1st ed or OD&D, not sure which (it was a while ago and I've got a bad memory, okay?), and 3e and 3.5e...
I started in 1981 with the 1980 Basic Box set with the Errol Otus cover art, edited by Moldvay. I then went on to AD&D, quit around 1986, then picked up 1E and 3E in 2001 (or was it 2002?)
Yeah, I didn't break Basic D&D down into its various iterations because these weren't as *conspicuous* as the release of 1E and 2E AD&D and then 3E D&D. In other words, Basic D&D was never "branded" as a new edition when it was upgraded. The best you might have got was a new cover design and a mention of the edition on the inside cover.