CUBE (SHAPE PRESERVING)
The skewb is a very solid and satisfying puzzle to play with.
A highly customized 4x4x4 cube.
This is a newer version of the Megaminx, published by Meffert, with tiles and 12 distinct colors.
SIAMESE & FUSED
Two 3x3x3's fused together to share a block of dimensions 2x2x2.
A cube where you put the numbers 1 through 9 on each face, in order, upright.