What album covers (for LPs) were not of the standard envelope-like shape or make? Off the top of my head, I can think of:
*Rod Stewart’s Sing it Again Rod, cover shaped like a highball glass.
*Rolling Stones Sticky Fingers had an actual zipper in the cover.
*Alice Cooper’s Killer, I believe, had a perforated cardboard panel that could be torn off, and torn into smaller sections that were postcards of the band.
I don’t know if this counts for the OP, but the Rolling Stones had a version of Their Satanic Majesties Request that was a 3D picture for the cover photo. The regular album had the same photo, but without the 3D effect.
Metal Box, by Public Image Limited was first released in a round metal box, and not just special promotional copies - that’s how it was sold to the public, and it was a commercial success. Later releases were in more conventional packaging.
I sort of remember that, but I can’t remember how it was 3D. It certainly wasn’t a hologram back in those days. But it was like a glued on piece of plastic, right?
Public Image Limited, Metal Box – in a can.
Small Faces, Ogden’s Nut Gone flake – Circular cover
Bonzo Dog Band, Tadpoles – die cut cover. When you slid out the inner sleeve, the cover became animated.
Cheech and Chong, Big Bambu – looked and opened like a package of rolling papers, with a giant rolling paper in early editions.
Rolling Stones, Through the Past, Darkly (Big Hits, Volume 2) – octagonal cover.
Traffic – The Low Spark of High Heeled Boys and Shootout at the Fantasy Factory – both had two opposite corners cut, to give it the appearance of a cube.
Alice Cooper, School’s Out – opened up like a school desk; instead of a paper liner, it had a paper pair of panties protecting the disk.
Captain Beefheart and the Magic Band, Clear Spot – Record cover made of clear vinyl.
A grass-cleaning box was a low, flat, open-topped box of a size appropriate for de-sticking and de-seeding a lid of marijuana. Gate-fold album covers were the prefered platform to roll on as well.
Well, it’s in the nature of these fancy packages that they seldom continue past the inital pressing. Every one of the examples I listed was later repackaged in a normal cover.
Plain brown wrapper department:
Jefferson Airplane’s Bark (actually a large shopping bag)
Led Zeppelin’s In Through the Out Door (also notable for the “magic paint” inner sleeve) United States of America
John & Yoko’s Two Virgins