I've been building and buying Rubik's cubes since I bought my first cube in 2009 or so. Here is my collection so far:
2X2X2
3X3X3
4X4X4
Rubik's Revenge (ITC)
Quantity: 1
Follow up to the Rubik's cube, as shown by its name.
Produced in 1982 and 1983 by Ideal Toy Corporation in Korea, Macau and Hong Kong.
5X5X5
6X6X6 & UP
V-Cube 6
Quantity: 1
The first mass produced 6x6x6. A six layered cube.
V-Cube 7
Quantity: 1
The first 7x7x7. A seven layered cube.
CUBE (SHAPE PRESERVING)
Fadi Cube
Quantity: 1
A twisty puzzle cube that turns around its corners. It has five layers per throughgoing axes.
Master Skewb
Quantity: 1
An incredible creation by Katsuhiko Okamoto. A very rare puzzle for many years it became mass produced in 2011.
Rex Cube
Quantity: 1
A corner turning hexahedron. Very similar to the MasterSkewb but without its corners.
Skewb
Quantity: 1
The deepcut corner turning cube.
CUBE (SHAPE CHANGING)
Caution Cube
Quantity: 1
A Rubik's Cube with edges that turn by gears.
Fisher's Golden Cube
Quantity: 1
All the stickers on this 78 mm modified Skewb are the same reflective golden colour. There is only one solution.
Gear Shift
Quantity: 1
A 3-D puzzle solely based on gears.
Micro Axis Cube
Quantity: 1
A very popular shape transformation of the 3x3x3 dramatically reduced in size.
Quirky Cube
Quantity: 1
A puzzle which reminds one of the Square-1 but introduces a whole set of changes to the original set.
CUBOID
2x2x3 (aka Slim Tower)
Quantity: 1
A formerly custom now mass produced 2x2x3 cuboid, commonly known as the "Slim Tower"
2x3x3
Quantity: 1
Cuboid, made after the original cube craze, first customly from a 3x3x3, then mass produced.
3x4x5
Quantity: 1
The long awaited bigger brother of the 2x3x4. Unlike all the previous 3x4x5s, this isn't a cubie chaos out of 2 siamese cubes but a fully finctional 3x4x5 cuboid.
4x4x6
Quantity: 1
A fully functional and fully proportional 4x4x6 made from a 4x4x4.
OCTAHEDRON
Curvy Octahedral Megaminx
Quantity: 1
A megaminx in octahedral shape. It is not a shape transformation but designed from scratch.
Skewb Diamond
Quantity: 1
Meffert's build-up and truncation of a Skewb into an octahedron.
OTHER EIGHT-SIDED
Mystruncated Cube
Quantity: 1
A 3x3x3 equivalent to the fused cube. It was radically truncated.
DODECAHEDRON
Holey Megaminx
Quantity: 1
The Holey Megaminx or Void Megaminx - inspired by the Void Cube this is a megaminx without centres.
Megaminx
Quantity: 1
Meffert's version from 1982 with six colours.
Pyraminx Crystal
Quantity: 2
Essentially a Deeper cut megaminx at heart, the Pyraminx crystal adds a new twist to the classic puzzle.
RHOMBIC DODECAHEDRON
FOUR
Pyraminx (Tomy 1981)
Quantity: 1
The 1981 Tomy version. Most samples came with logo on the yellow face.
TEN
FOURTEEN
Bump Cuboctahedron
Quantity: 1
A Bump Cube (aka Mirror Blocks) truncated into a cuboctahedron.
DaYan Gem I
Quantity: 1
An edge turning hexahedron transformed into the shape of a truncated octahedron which is an archimedean solid.
OTHER N-SIDED
Alphaminx
Quantity: 1
A truncated Kleetopes, in this case a Truncated Triakis Tetrahedron.
Rock
Quantity: 1
A 2x3x3 truncated into a random assymmetrical shape.
SPHERE
OTHER SHAPES
Stickered Tripod
Quantity: 1
A Platypus dyed and stickered to change the look into that of a classic puzzle.
MOVING HOLE
Whip-It 3x6 (cylindrical)
Quantity: 1
This 3x6 Whip-It stands approximately 7 mm tall. Produced in Macau. Original LJN Whip-Its were made in Hong Kong.
SIAMESE & FUSED
Cubie Chaos 1
Quantity: 1
A small number of Eastsheen 2x2x2s joined and extended to form a 2x4x5 block which poses a new kind of challenge.