The Gravitation3d Magic 5D Cube software is capable of rendering 5-cube puzzles in six sizes from 25 to 75. As well as the ability to make moves on the cube there are controls to change the view. These include controls for rotating the cube in 3-space, 4-space and 5-space, 4-D and 5-D perspective controls, cubie and sticker spacing and size controls, similar to Subliminal's 4D cube.
However, a 5-D puzzle is much more difficult to comprehend on a 2-D screen than a 4-D puzzle is. An essential feature of the Gravitation3d implementation is the ability to turn off or highlight chosen cubies and stickers. Even so, the complexities of the images produced are still quite severe as can be seen from the screen shots.
Gravitation3d maintains a Hall of Insanity for record breaking solvers of this puzzle. As of 6th, January 2011, there has been two successful solutions for the 75 size of 5-cube.
I repeat: somebody has solved a scrambled 5-dimensional 7x7x7x7x7 Rubik's Cube. Twice.
I'm not sure whether to be awed that such a figure has graced us mere mortals with his presence or terrified that such a mind exists and might potentially be used for devious purposes. I'd love to see the algorithms he used, though.
It's worth noting that the 6-D 3x3, 7-D 3x3, and 6-D 4x4 have also been solved.