3x5x5 (Cubic)Not a bandaged 6x6x6 but a built from scratch cuboid.
CelticubeAlso named "cubic face turning deltoidal icositetrahedron"
ComboctahedronA hybrid puzzle. It looks like the face turning octahedron and the magic octahedron but allows the moves from both puzzles.
Compound CubesA hybrid puzzle which combines two axis systems and has a perfectly fitting shape.
Dino StarminxA hybrid puzzle which looks like the Dino dodecahedron or the starminx. It combines the types of turns from both preceeding puzzles.
EyeSkewbA puzzle with 4 axis and many ways to interpret it.
Fang-10An edgeturning pentagonal dipyramid. A puzzle that allows only jumbling moves.
GigaTwistA shape transformation of the gigaminx. The same concept as the Megatwist but implemented with a Gigaminx.