I first got a CD player in 1988, when they fell below $200 for the first time. It was a CDC brand player (made by Teac), for which I trekked out to KMart at Box Hill. It worked for fifteen years, until 2003 — though its replacement didn’t last that long.
The first CD I bought back in ’88? Abbey Road.
I don’t recall the subsequent early purchases, but I know the rest of The Beatles’ albums and a lot of The Who was in there. In musical terms, I had very narrow interests back then.
I actually still buy CDs, which (mostly) don’t have any DRM hassles, and for older stuff are cheaper than iTunes. I’m also not super-confident my iTunes collection will be intact in another 20 years.