The Super Amigos cube puzzle games were a type of Rubik’s cube, but you had to build it before you could play with it.  They consisted of cube pieces and stickers, also came with tools to build them.  Each side would be a different color, except for one side that would have character artwork.  While the full lineup is unknown, in addition to the characters shown below there have also been sightings of Joker, Parademon, Darkseid, and Mr Freeze.