My humble collection
A 3x3x3 with innovatively restricted movements.
CUBE (SHAPE PRESERVING)
A 2x2x2 with a twist that defies all attempts of classifying.
The deepcut corner turning cube.
A triangular prism transformed into a cube but with six identically looking sides.
CUBE (SHAPE CHANGING)
The Bump Cube is a simple 3x3x3 Rubik's cube, but with an interesting twist. It spawned a whole series of puzzles and created a verb of its own.
Fisher's Golden Cube
All the stickers on this 78 mm modified Skewb are the same reflective golden colour. There is only one solution.
A 3x3x3 placed in midturn and reoriented in its original shape. Every piece is of unique shape and therefore sticker can be unicoloured.
Also known as "Master Golden Cube". A Master Skewb transformed like the Golden Cube.
A face turning dodecahedron with a mixture of pieces from other puzzles with this axis system.
This is a newer version of the Megaminx, published by Meffert, with tiles and 12 distinct colors.