The "popeye cubik puzzle (2x2x2)" is ball mechanism.
I think it is rare because the current "Pocket Cube (2x2x2)" is no ball mechanism.
There is the photo of "popeye cubik puzzle (2x2x2)" on following web site.http://www.virtualpuzzlemuseum.com/2x2x2puzzles2of8.htm
I do not know what mechanism of Face cube(2x2x2) is.
Please let me know.