
The first Alice comic, Marvel Premier 50, was released in 1979 by Marvel comics. It was based on the then current 'From The Inside' album.
The second Alice comic was an unofficial one released by Rock and Roll comics which was basically a brief history of Alice in comic form.
.
.
'The Last Temptation' album was released with the first of three comic books based on the album's concept. It was written by Alice and Neil Gaimen ('Sandman') and drawn by Mike Zulli with covers by Dave McKean ('Sandman'). The second two issues were originally planned to be released with the second two singles from the album but this never happened. They eventually emerged via normal comic outlets.
There are two different covers to issue one. The first features artwork by Zulli and was included with the album. The second featured the album cover art (by McKean) and was available through comic shops.
Alice and Neil Gaiman appeared at London's Forbidden Planet' comic shop to sign copies of the comic and do interviews. Unfortunately, due to an almost complete lack of advertisement, It wasn't well attended. Marvel comics also released a trade paperback comprising all three issues of the comic with some additional text and illustrations called 'The Compleat Alice Cooper' (isbn 0-7851-0119-5).
There were advertisement for a special version of 'The Compleat Alice Cooper' which was to have a black velvet hardback cover and come with a 'The Last Temptation' CD.. This version was never actually released.
Dark Horse Comics also released collected versions of the comics in both hardback and paperback.
Paperback


Hardback (released Sept. '05)

And an extra related mention that Dale Sherman found:
"Recently picked up a volume of HOWARD THE DUCK comics recently released by Marvel Comics. I bought all the issues growing up in the '70s, but have them packed away and haven't read them in years.
In rereading the issues in the collection, I ran across a parody of Bob Greene's BILLION DOLLAR BABY book that I had completely forgotten about.
It occurs in Issue #17: A villain with a metal globe where his right hand should be called Doctor Bong (a partial parody of Marvel villain Doctor Doom) is explaining his origin. He was once Lester Verde, a obnoxious guy who wanted to become a journalist solely to destroy the people around him.
Eventually he becomes a rock journalist, but felt he was not seen as being important. To counter this, he decided to write an expose on "the most popular, most outrageous rock group of the early 1970's," Mildred Horowitz. Verde explains why: "I was to WRITE about the group -- about the glitter, the decadence, the amorality, the teenage HYSTERIA they engendered. And since I already had a PAPERBACK deal lined up, I happily because part of it all! I could rationalize my seduction later, in print!"
As seen in the comic, Verde comes out during the Horowitz show as the Easter Bunny. He is then attacked by the band. Unfortunately, during one show, Verde gets his hand caught in the Guillotine on stage and the blade falls, slicing his right hand off.
Which explains the metal orb at the end of his arm.
That's the only direct parody of Greene's book in the issue, but I thought I would pass it along to fans anyway. Amazing how Steve Gerber, writer and creator of Howard the Duck, saw the same pomposity in Greene's writing that many fans saw.
(Dale Sherwin, March 2002)

In February 2002 Norwegian comic 'Nemi' featured Alice and also had a handwritten note from him. In the book, Alice is represented by the Showman character from The Last Temptation. There is a brief appearance in a later issue as well.
.
.
.
.
.
.
Alice is also apparently mentioned in Marvel Comics' Avengers #153 (1976). A man looking for souvenirs outside Avengers' mansion says, "my brother once got a dead python from Alice Cooper and sold it for 2 grand!"
Alice appears, after a fashion, in Elvira Comics #94 in a story called ‘Goth Sides Now!' In it, Elvira finds herself performing in rock star Malice Spooker's stage show as a virgin sacrifice. The character is due to reappear in early 2005 in the same comic.
In October 2004, Bongo Comics released "Bart Simpsons Treehouse Of Horror #10" which featred a story plotted and featuring Alice about a strange event from Homer's childhood coming back to haunt him.