Here is my latest mod, the Master Skewb Kite.
The base is a LanLan Master Skewb, I extended and capped the puzzle with 1mm ABS plastic to the rhombic dodecahedron shape. The concept Skewb Kite is of course that of Tony Fisher's.
Here are the pictures (I won't be making a video, sorry):

A different angle

Yet another angle

Partially scrambled

A 60 degree turn still remains it in the rhombic dodecahedron shape

Size comparison with the Skewb Kite

The base puzzle

