I've been slowly collection as any different puzzles as I can over the years. This collection is more so for me than anyone else, but regardless here is what I have.
3X3X3
25th anniversary cube
Puzzle made for the 25th anniversary of the cube.
Good for speedcubing after lubricating.
4X4X4
Rubik's Studio 4x4x4
The new retooled version of Rubik's Revenge produced in Hungary by Rubik's Studio.
5X5X5
6X6X6 & UP
V-Cube 6
The first mass produced 6x6x6. A six layered cube.
V-Cube 7
The first 7x7x7. A seven layered cube.
CUBE (SHAPE PRESERVING)
Curvy Copter
A variation on the Helicopter Cube that uses curved cuts to reveal the otherwise hidden centerpieces.
Rex Cube
A corner turning hexahedron. Very similar to the MasterSkewb but without its corners.
Skewb
The deepcut corner turning cube.
CUBE (SHAPE CHANGING)
Get back to Square-1
An american based version of the Square-1. It distinguishes itself from the other variants because it was sold in scrambled state.
CUBOID
3x3x4 (cube4You)
Not the first fully functional 3x3x4 but the first mass produced.
OCTAHEDRON
Trajber's Octahedron
Of this 3x3x3-variant only few examples were produced and sold in the eighties.
DODECAHEDRON
Megaminx (1999)
This is a newer version of the Megaminx, published by Meffert, with tiles and 12 distinct colours.
FOUR
MOVING TILES