Greenhill's 1Another beautiful Square-1 mod by Anthony Greenhill.
Grilles Cube IIA cube that allows face turns and corner turns in two depths.
Half CompinoA combination of Dino Cube and Curvy Compino. A non-bandaged puzzle.
HaoYan CubeA Master Skewb combined with a 2x2x2 and strange jumbling turns.
HaoYan Cube PlusAn Elite Skewb combined with a 2x2x2 and strange jumbling turns.
Helicopter + 3x3x3A hybrid puzzle closely related to Dayan Gem II but with some different pieces and with cubic shape.
Helicopter SkewbA hybrid of Helicopter cube and Skewb. This puzzle brings jumbling to a new level.
HeliO CubeA Helicopter Cube with a cage as visible core.
Heritombo CubeA shallower cut variant of the Helicopter Cube with straight cuts that reveals the edge centers and face centers.
Hidden Edge DinoA Rainbow Cube which corners have visible orientation and which pretends to be a 2x2x2.
Hole Eye SkewbLooks trivial but this is indeed a massive change in the puzzle's interior.