This game was released (in the U.S. at least) in five different boxes.
There was one box each with a drawing of each particular band member on the cover and then a Collector's Edition' which had all four members on the cover.
The Collector's Edition also came with a mini poster and little plastic 'back stage pass'. (Don't try and use it at a KISS concert though!)
I don't know that there's any difference in the game itself between the regular or collector's edition, but I did notice when I grabbed the patch that there were two seperate patches, one for the collector's one not.
The US game box of KISS Psycho Circus came with a bonus Heavy Metal 2000 - Hyper CD that contained promotion/advertisement for the PC game Heavy Metal F.A.K.K. 2. It linked directly to the official website to deliver high quality video and CD-quality audio via the Web without any of the quality loss of streaming or the lengthy download time associated with the Web at large.