The Velvet Underground: The Great Lost Album (1968-1969)
Most of these outtakes finally saw official light of day on 1985's VU collection (with a few holdovers on the following year's Another View). They were also later repackaged (with some additional tracks and alternative versions) on box sets and deluxe reissues of White Light and Velvet Underground. A few of the tunes include original member John Cale, but most were recorded after he was replaced by Yule and intended as a follow-up to the Velvet Underground album.
While VU in its original, belated incarnation is pretty great as is, I ended up building my own version, adding in a few additional tunes from VU and the later box sets. As a solid hour of music, I think it makes for a fifth proper Velvets album that is as much a part of the band's canon as the original releases. Several of the individual songs are among the band's best (I'm partial to "She's My Best Friend" and "Stephanie Says" in particular), while as a whole it sounds like a perfectly cohesive album that would have worked perfectly as either a predecessor or follow-up to Velvet Underground.
Hell, truth be told, I listen to this far more often than the band's first two records.
"She's My Best Friend":"Stephanie Says":Here's my playlist: