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Hybrid (face- and edge-turning hexahedron)
SunrayA Tetrakis Hexahedron with the hybrid axis system of face- and edge turning cube.
Tetrahexaminx IIIA tetrakis hexahedron with a hybrid mechanism inside that combines face and edge turning hexahedron.
Unbandaged Helicopter Cube Plus 2x2x2Looking like a helicopter this puzzle allows many more moves.

Venom CubeA cube with hybrid axis system (face turning cube and edge turning cube) with just one piece type and even that is as heavily reduced as possible.
Venomish 2x2x2Maybe the easiest hybrid puzzle combining a face turning and an edge turning cube.
Very Deep CubeA cube with just two axes. A heavily bandaged hybrid puzzle.

VET OctahedronAn octahedron which combines vertex-turning and edge turning moves. This explains the acronym in the puzzles name.
Zygmunt's CubeA hybrid puzzle combining a 2x2x2 with an edge turning layer of additional pieces.

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